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Simplifying 83 + -1(4x + 15) = 4(x + 8) + x Reorder the terms: 83 + -1(15 + 4x) = 4(x + 8) + x 83 + (15 * -1 + 4x * -1) = 4(x + 8) + x 83 + (-15 + -4x) = 4(x + 8) + x Combine like terms: 83 + -15 = 68 68 + -4x = 4(x + 8) + x Reorder the terms: 68 + -4x = 4(8 + x) + x 68 + -4x = (8 * 4 + x * 4) + x 68 + -4x = (32 + 4x) + x Combine like terms: 4x + x = 5x 68 + -4x = 32 + 5x Solving 68 + -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. 68 + -4x + -5x = 32 + 5x + -5x Combine like terms: -4x + -5x = -9x 68 + -9x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 68 + -9x = 32 + 0 68 + -9x = 32 Add '-68' to each side of the equation. 68 + -68 + -9x = 32 + -68 Combine like terms: 68 + -68 = 0 0 + -9x = 32 + -68 -9x = 32 + -68 Combine like terms: 32 + -68 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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