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Simplifying 4(x + -8) + 8 = 5(x + -9) + 13 Reorder the terms: 4(-8 + x) + 8 = 5(x + -9) + 13 (-8 * 4 + x * 4) + 8 = 5(x + -9) + 13 (-32 + 4x) + 8 = 5(x + -9) + 13 Reorder the terms: -32 + 8 + 4x = 5(x + -9) + 13 Combine like terms: -32 + 8 = -24 -24 + 4x = 5(x + -9) + 13 Reorder the terms: -24 + 4x = 5(-9 + x) + 13 -24 + 4x = (-9 * 5 + x * 5) + 13 -24 + 4x = (-45 + 5x) + 13 Reorder the terms: -24 + 4x = -45 + 13 + 5x Combine like terms: -45 + 13 = -32 -24 + 4x = -32 + 5x Solving -24 + 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. -24 + 4x + -5x = -32 + 5x + -5x Combine like terms: 4x + -5x = -1x -24 + -1x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 -24 + -1x = -32 + 0 -24 + -1x = -32 Add '24' to each side of the equation. -24 + 24 + -1x = -32 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -32 + 24 -1x = -32 + 24 Combine like terms: -32 + 24 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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