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Simplifying 5(x + 1) = 8(x + -2) Reorder the terms: 5(1 + x) = 8(x + -2) (1 * 5 + x * 5) = 8(x + -2) (5 + 5x) = 8(x + -2) Reorder the terms: 5 + 5x = 8(-2 + x) 5 + 5x = (-2 * 8 + x * 8) 5 + 5x = (-16 + 8x) Solving 5 + 5x = -16 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 5 + 5x + -8x = -16 + 8x + -8x Combine like terms: 5x + -8x = -3x 5 + -3x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -3x = -16 + 0 5 + -3x = -16 Add '-5' to each side of the equation. 5 + -5 + -3x = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -16 + -5 -3x = -16 + -5 Combine like terms: -16 + -5 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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