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Simplifying 8(x + 2) + -3(x + 5) = 2(x + -2) Reorder the terms: 8(2 + x) + -3(x + 5) = 2(x + -2) (2 * 8 + x * 8) + -3(x + 5) = 2(x + -2) (16 + 8x) + -3(x + 5) = 2(x + -2) Reorder the terms: 16 + 8x + -3(5 + x) = 2(x + -2) 16 + 8x + (5 * -3 + x * -3) = 2(x + -2) 16 + 8x + (-15 + -3x) = 2(x + -2) Reorder the terms: 16 + -15 + 8x + -3x = 2(x + -2) Combine like terms: 16 + -15 = 1 1 + 8x + -3x = 2(x + -2) Combine like terms: 8x + -3x = 5x 1 + 5x = 2(x + -2) Reorder the terms: 1 + 5x = 2(-2 + x) 1 + 5x = (-2 * 2 + x * 2) 1 + 5x = (-4 + 2x) Solving 1 + 5x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + 5x + -2x = -4 + 2x + -2x Combine like terms: 5x + -2x = 3x 1 + 3x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 3x = -4 + 0 1 + 3x = -4 Add '-1' to each side of the equation. 1 + -1 + 3x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = -4 + -1 3x = -4 + -1 Combine like terms: -4 + -1 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667
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