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Simplifying -1(7x + -3) + -1(3x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3 Reorder the terms: -1(-3 + 7x) + -1(3x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3 (-3 * -1 + 7x * -1) + -1(3x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3 (3 + -7x) + -1(3x + -6) + 14 = -6(x + -1) + -1(9x + 6) + 3 Reorder the terms: 3 + -7x + -1(-6 + 3x) + 14 = -6(x + -1) + -1(9x + 6) + 3 3 + -7x + (-6 * -1 + 3x * -1) + 14 = -6(x + -1) + -1(9x + 6) + 3 3 + -7x + (6 + -3x) + 14 = -6(x + -1) + -1(9x + 6) + 3 Reorder the terms: 3 + 6 + 14 + -7x + -3x = -6(x + -1) + -1(9x + 6) + 3 Combine like terms: 3 + 6 = 9 9 + 14 + -7x + -3x = -6(x + -1) + -1(9x + 6) + 3 Combine like terms: 9 + 14 = 23 23 + -7x + -3x = -6(x + -1) + -1(9x + 6) + 3 Combine like terms: -7x + -3x = -10x 23 + -10x = -6(x + -1) + -1(9x + 6) + 3 Reorder the terms: 23 + -10x = -6(-1 + x) + -1(9x + 6) + 3 23 + -10x = (-1 * -6 + x * -6) + -1(9x + 6) + 3 23 + -10x = (6 + -6x) + -1(9x + 6) + 3 Reorder the terms: 23 + -10x = 6 + -6x + -1(6 + 9x) + 3 23 + -10x = 6 + -6x + (6 * -1 + 9x * -1) + 3 23 + -10x = 6 + -6x + (-6 + -9x) + 3 Reorder the terms: 23 + -10x = 6 + -6 + 3 + -6x + -9x Combine like terms: 6 + -6 = 0 23 + -10x = 0 + 3 + -6x + -9x 23 + -10x = 3 + -6x + -9x Combine like terms: -6x + -9x = -15x 23 + -10x = 3 + -15x Solving 23 + -10x = 3 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 23 + -10x + 15x = 3 + -15x + 15x Combine like terms: -10x + 15x = 5x 23 + 5x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 23 + 5x = 3 + 0 23 + 5x = 3 Add '-23' to each side of the equation. 23 + -23 + 5x = 3 + -23 Combine like terms: 23 + -23 = 0 0 + 5x = 3 + -23 5x = 3 + -23 Combine like terms: 3 + -23 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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