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Simplifying 3x + -2(2x + -5) = 2(x + 8) + -8 Reorder the terms: 3x + -2(-5 + 2x) = 2(x + 8) + -8 3x + (-5 * -2 + 2x * -2) = 2(x + 8) + -8 3x + (10 + -4x) = 2(x + 8) + -8 Reorder the terms: 10 + 3x + -4x = 2(x + 8) + -8 Combine like terms: 3x + -4x = -1x 10 + -1x = 2(x + 8) + -8 Reorder the terms: 10 + -1x = 2(8 + x) + -8 10 + -1x = (8 * 2 + x * 2) + -8 10 + -1x = (16 + 2x) + -8 Reorder the terms: 10 + -1x = 16 + -8 + 2x Combine like terms: 16 + -8 = 8 10 + -1x = 8 + 2x Solving 10 + -1x = 8 + 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. 10 + -1x + -2x = 8 + 2x + -2x Combine like terms: -1x + -2x = -3x 10 + -3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -3x = 8 + 0 10 + -3x = 8 Add '-10' to each side of the equation. 10 + -10 + -3x = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 8 + -10 -3x = 8 + -10 Combine like terms: 8 + -10 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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