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Simplifying -3(x + 13) = 8(4x + 17) Reorder the terms: -3(13 + x) = 8(4x + 17) (13 * -3 + x * -3) = 8(4x + 17) (-39 + -3x) = 8(4x + 17) Reorder the terms: -39 + -3x = 8(17 + 4x) -39 + -3x = (17 * 8 + 4x * 8) -39 + -3x = (136 + 32x) Solving -39 + -3x = 136 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -39 + -3x + -32x = 136 + 32x + -32x Combine like terms: -3x + -32x = -35x -39 + -35x = 136 + 32x + -32x Combine like terms: 32x + -32x = 0 -39 + -35x = 136 + 0 -39 + -35x = 136 Add '39' to each side of the equation. -39 + 39 + -35x = 136 + 39 Combine like terms: -39 + 39 = 0 0 + -35x = 136 + 39 -35x = 136 + 39 Combine like terms: 136 + 39 = 175 -35x = 175 Divide each side by '-35'. x = -5 Simplifying x = -5
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