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Simplifying 4(8 + -2x) + 7 = 2(x + 8) + -7 (8 * 4 + -2x * 4) + 7 = 2(x + 8) + -7 (32 + -8x) + 7 = 2(x + 8) + -7 Reorder the terms: 32 + 7 + -8x = 2(x + 8) + -7 Combine like terms: 32 + 7 = 39 39 + -8x = 2(x + 8) + -7 Reorder the terms: 39 + -8x = 2(8 + x) + -7 39 + -8x = (8 * 2 + x * 2) + -7 39 + -8x = (16 + 2x) + -7 Reorder the terms: 39 + -8x = 16 + -7 + 2x Combine like terms: 16 + -7 = 9 39 + -8x = 9 + 2x Solving 39 + -8x = 9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 39 + -8x + -2x = 9 + 2x + -2x Combine like terms: -8x + -2x = -10x 39 + -10x = 9 + 2x + -2x Combine like terms: 2x + -2x = 0 39 + -10x = 9 + 0 39 + -10x = 9 Add '-39' to each side of the equation. 39 + -39 + -10x = 9 + -39 Combine like terms: 39 + -39 = 0 0 + -10x = 9 + -39 -10x = 9 + -39 Combine like terms: 9 + -39 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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