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Simplifying 4(x + 8) = 5(x + -6) Reorder the terms: 4(8 + x) = 5(x + -6) (8 * 4 + x * 4) = 5(x + -6) (32 + 4x) = 5(x + -6) Reorder the terms: 32 + 4x = 5(-6 + x) 32 + 4x = (-6 * 5 + x * 5) 32 + 4x = (-30 + 5x) Solving 32 + 4x = -30 + 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. 32 + 4x + -5x = -30 + 5x + -5x Combine like terms: 4x + -5x = -1x 32 + -1x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + -1x = -30 + 0 32 + -1x = -30 Add '-32' to each side of the equation. 32 + -32 + -1x = -30 + -32 Combine like terms: 32 + -32 = 0 0 + -1x = -30 + -32 -1x = -30 + -32 Combine like terms: -30 + -32 = -62 -1x = -62 Divide each side by '-1'. x = 62 Simplifying x = 62
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