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Simplifying 5(x + 2) + -3x = 8x + -1(x + -2) Reorder the terms: 5(2 + x) + -3x = 8x + -1(x + -2) (2 * 5 + x * 5) + -3x = 8x + -1(x + -2) (10 + 5x) + -3x = 8x + -1(x + -2) Combine like terms: 5x + -3x = 2x 10 + 2x = 8x + -1(x + -2) Reorder the terms: 10 + 2x = 8x + -1(-2 + x) 10 + 2x = 8x + (-2 * -1 + x * -1) 10 + 2x = 8x + (2 + -1x) Reorder the terms: 10 + 2x = 2 + 8x + -1x Combine like terms: 8x + -1x = 7x 10 + 2x = 2 + 7x Solving 10 + 2x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 2x + -7x = 2 + 7x + -7x Combine like terms: 2x + -7x = -5x 10 + -5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -5x = 2 + 0 10 + -5x = 2 Add '-10' to each side of the equation. 10 + -10 + -5x = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = 2 + -10 -5x = 2 + -10 Combine like terms: 2 + -10 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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