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Simplifying -1(3x + -3) + -1(3x + -6) + 4 = -7(x + -1) + -1(2x + 6) + 3 Reorder the terms: -1(-3 + 3x) + -1(3x + -6) + 4 = -7(x + -1) + -1(2x + 6) + 3 (-3 * -1 + 3x * -1) + -1(3x + -6) + 4 = -7(x + -1) + -1(2x + 6) + 3 (3 + -3x) + -1(3x + -6) + 4 = -7(x + -1) + -1(2x + 6) + 3 Reorder the terms: 3 + -3x + -1(-6 + 3x) + 4 = -7(x + -1) + -1(2x + 6) + 3 3 + -3x + (-6 * -1 + 3x * -1) + 4 = -7(x + -1) + -1(2x + 6) + 3 3 + -3x + (6 + -3x) + 4 = -7(x + -1) + -1(2x + 6) + 3 Reorder the terms: 3 + 6 + 4 + -3x + -3x = -7(x + -1) + -1(2x + 6) + 3 Combine like terms: 3 + 6 = 9 9 + 4 + -3x + -3x = -7(x + -1) + -1(2x + 6) + 3 Combine like terms: 9 + 4 = 13 13 + -3x + -3x = -7(x + -1) + -1(2x + 6) + 3 Combine like terms: -3x + -3x = -6x 13 + -6x = -7(x + -1) + -1(2x + 6) + 3 Reorder the terms: 13 + -6x = -7(-1 + x) + -1(2x + 6) + 3 13 + -6x = (-1 * -7 + x * -7) + -1(2x + 6) + 3 13 + -6x = (7 + -7x) + -1(2x + 6) + 3 Reorder the terms: 13 + -6x = 7 + -7x + -1(6 + 2x) + 3 13 + -6x = 7 + -7x + (6 * -1 + 2x * -1) + 3 13 + -6x = 7 + -7x + (-6 + -2x) + 3 Reorder the terms: 13 + -6x = 7 + -6 + 3 + -7x + -2x Combine like terms: 7 + -6 = 1 13 + -6x = 1 + 3 + -7x + -2x Combine like terms: 1 + 3 = 4 13 + -6x = 4 + -7x + -2x Combine like terms: -7x + -2x = -9x 13 + -6x = 4 + -9x Solving 13 + -6x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 13 + -6x + 9x = 4 + -9x + 9x Combine like terms: -6x + 9x = 3x 13 + 3x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 3x = 4 + 0 13 + 3x = 4 Add '-13' to each side of the equation. 13 + -13 + 3x = 4 + -13 Combine like terms: 13 + -13 = 0 0 + 3x = 4 + -13 3x = 4 + -13 Combine like terms: 4 + -13 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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