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Simplifying -3(3x + -4) + -1(4x + -4) + 3 = -9(x + -6) + -1(9x + 3) + 2 Reorder the terms: -3(-4 + 3x) + -1(4x + -4) + 3 = -9(x + -6) + -1(9x + 3) + 2 (-4 * -3 + 3x * -3) + -1(4x + -4) + 3 = -9(x + -6) + -1(9x + 3) + 2 (12 + -9x) + -1(4x + -4) + 3 = -9(x + -6) + -1(9x + 3) + 2 Reorder the terms: 12 + -9x + -1(-4 + 4x) + 3 = -9(x + -6) + -1(9x + 3) + 2 12 + -9x + (-4 * -1 + 4x * -1) + 3 = -9(x + -6) + -1(9x + 3) + 2 12 + -9x + (4 + -4x) + 3 = -9(x + -6) + -1(9x + 3) + 2 Reorder the terms: 12 + 4 + 3 + -9x + -4x = -9(x + -6) + -1(9x + 3) + 2 Combine like terms: 12 + 4 = 16 16 + 3 + -9x + -4x = -9(x + -6) + -1(9x + 3) + 2 Combine like terms: 16 + 3 = 19 19 + -9x + -4x = -9(x + -6) + -1(9x + 3) + 2 Combine like terms: -9x + -4x = -13x 19 + -13x = -9(x + -6) + -1(9x + 3) + 2 Reorder the terms: 19 + -13x = -9(-6 + x) + -1(9x + 3) + 2 19 + -13x = (-6 * -9 + x * -9) + -1(9x + 3) + 2 19 + -13x = (54 + -9x) + -1(9x + 3) + 2 Reorder the terms: 19 + -13x = 54 + -9x + -1(3 + 9x) + 2 19 + -13x = 54 + -9x + (3 * -1 + 9x * -1) + 2 19 + -13x = 54 + -9x + (-3 + -9x) + 2 Reorder the terms: 19 + -13x = 54 + -3 + 2 + -9x + -9x Combine like terms: 54 + -3 = 51 19 + -13x = 51 + 2 + -9x + -9x Combine like terms: 51 + 2 = 53 19 + -13x = 53 + -9x + -9x Combine like terms: -9x + -9x = -18x 19 + -13x = 53 + -18x Solving 19 + -13x = 53 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 19 + -13x + 18x = 53 + -18x + 18x Combine like terms: -13x + 18x = 5x 19 + 5x = 53 + -18x + 18x Combine like terms: -18x + 18x = 0 19 + 5x = 53 + 0 19 + 5x = 53 Add '-19' to each side of the equation. 19 + -19 + 5x = 53 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 53 + -19 5x = 53 + -19 Combine like terms: 53 + -19 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8
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