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Simplifying -4x + 7 + -6(x + -1) = -1(3x + -3) + -6x + 6 Reorder the terms: -4x + 7 + -6(-1 + x) = -1(3x + -3) + -6x + 6 -4x + 7 + (-1 * -6 + x * -6) = -1(3x + -3) + -6x + 6 -4x + 7 + (6 + -6x) = -1(3x + -3) + -6x + 6 Reorder the terms: 7 + 6 + -4x + -6x = -1(3x + -3) + -6x + 6 Combine like terms: 7 + 6 = 13 13 + -4x + -6x = -1(3x + -3) + -6x + 6 Combine like terms: -4x + -6x = -10x 13 + -10x = -1(3x + -3) + -6x + 6 Reorder the terms: 13 + -10x = -1(-3 + 3x) + -6x + 6 13 + -10x = (-3 * -1 + 3x * -1) + -6x + 6 13 + -10x = (3 + -3x) + -6x + 6 Reorder the terms: 13 + -10x = 3 + 6 + -3x + -6x Combine like terms: 3 + 6 = 9 13 + -10x = 9 + -3x + -6x Combine like terms: -3x + -6x = -9x 13 + -10x = 9 + -9x Solving 13 + -10x = 9 + -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 + -10x + 9x = 9 + -9x + 9x Combine like terms: -10x + 9x = -1x 13 + -1x = 9 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + -1x = 9 + 0 13 + -1x = 9 Add '-13' to each side of the equation. 13 + -13 + -1x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 9 + -13 -1x = 9 + -13 Combine like terms: 9 + -13 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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