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Simplifying -7 + 4(2x + -6) = 5(2x + 3) + -12 Reorder the terms: -7 + 4(-6 + 2x) = 5(2x + 3) + -12 -7 + (-6 * 4 + 2x * 4) = 5(2x + 3) + -12 -7 + (-24 + 8x) = 5(2x + 3) + -12 Combine like terms: -7 + -24 = -31 -31 + 8x = 5(2x + 3) + -12 Reorder the terms: -31 + 8x = 5(3 + 2x) + -12 -31 + 8x = (3 * 5 + 2x * 5) + -12 -31 + 8x = (15 + 10x) + -12 Reorder the terms: -31 + 8x = 15 + -12 + 10x Combine like terms: 15 + -12 = 3 -31 + 8x = 3 + 10x Solving -31 + 8x = 3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -31 + 8x + -10x = 3 + 10x + -10x Combine like terms: 8x + -10x = -2x -31 + -2x = 3 + 10x + -10x Combine like terms: 10x + -10x = 0 -31 + -2x = 3 + 0 -31 + -2x = 3 Add '31' to each side of the equation. -31 + 31 + -2x = 3 + 31 Combine like terms: -31 + 31 = 0 0 + -2x = 3 + 31 -2x = 3 + 31 Combine like terms: 3 + 31 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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