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Simplifying -3x + 6 = 2(4x + -6) + -7(-3 + 2x) Reorder the terms: 6 + -3x = 2(4x + -6) + -7(-3 + 2x) Reorder the terms: 6 + -3x = 2(-6 + 4x) + -7(-3 + 2x) 6 + -3x = (-6 * 2 + 4x * 2) + -7(-3 + 2x) 6 + -3x = (-12 + 8x) + -7(-3 + 2x) 6 + -3x = -12 + 8x + (-3 * -7 + 2x * -7) 6 + -3x = -12 + 8x + (21 + -14x) Reorder the terms: 6 + -3x = -12 + 21 + 8x + -14x Combine like terms: -12 + 21 = 9 6 + -3x = 9 + 8x + -14x Combine like terms: 8x + -14x = -6x 6 + -3x = 9 + -6x Solving 6 + -3x = 9 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + -3x + 6x = 9 + -6x + 6x Combine like terms: -3x + 6x = 3x 6 + 3x = 9 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 3x = 9 + 0 6 + 3x = 9 Add '-6' to each side of the equation. 6 + -6 + 3x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 9 + -6 3x = 9 + -6 Combine like terms: 9 + -6 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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