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Simplifying 3x + 7 + -4x + 8 = 2(-2x + -6) Reorder the terms: 7 + 8 + 3x + -4x = 2(-2x + -6) Combine like terms: 7 + 8 = 15 15 + 3x + -4x = 2(-2x + -6) Combine like terms: 3x + -4x = -1x 15 + -1x = 2(-2x + -6) Reorder the terms: 15 + -1x = 2(-6 + -2x) 15 + -1x = (-6 * 2 + -2x * 2) 15 + -1x = (-12 + -4x) Solving 15 + -1x = -12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + -1x + 4x = -12 + -4x + 4x Combine like terms: -1x + 4x = 3x 15 + 3x = -12 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 3x = -12 + 0 15 + 3x = -12 Add '-15' to each side of the equation. 15 + -15 + 3x = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = -12 + -15 3x = -12 + -15 Combine like terms: -12 + -15 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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