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Simplifying 102 + -1(4x + 16) = 4(x + 8) + x Reorder the terms: 102 + -1(16 + 4x) = 4(x + 8) + x 102 + (16 * -1 + 4x * -1) = 4(x + 8) + x 102 + (-16 + -4x) = 4(x + 8) + x Combine like terms: 102 + -16 = 86 86 + -4x = 4(x + 8) + x Reorder the terms: 86 + -4x = 4(8 + x) + x 86 + -4x = (8 * 4 + x * 4) + x 86 + -4x = (32 + 4x) + x Combine like terms: 4x + x = 5x 86 + -4x = 32 + 5x Solving 86 + -4x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 86 + -4x + -5x = 32 + 5x + -5x Combine like terms: -4x + -5x = -9x 86 + -9x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 86 + -9x = 32 + 0 86 + -9x = 32 Add '-86' to each side of the equation. 86 + -86 + -9x = 32 + -86 Combine like terms: 86 + -86 = 0 0 + -9x = 32 + -86 -9x = 32 + -86 Combine like terms: 32 + -86 = -54 -9x = -54 Divide each side by '-9'. x = 6 Simplifying x = 6
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