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Simplifying 3x + -2(2x + -5) = 2(x + 3) Reorder the terms: 3x + -2(-5 + 2x) = 2(x + 3) 3x + (-5 * -2 + 2x * -2) = 2(x + 3) 3x + (10 + -4x) = 2(x + 3) Reorder the terms: 10 + 3x + -4x = 2(x + 3) Combine like terms: 3x + -4x = -1x 10 + -1x = 2(x + 3) Reorder the terms: 10 + -1x = 2(3 + x) 10 + -1x = (3 * 2 + x * 2) 10 + -1x = (6 + 2x) Solving 10 + -1x = 6 + 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 = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x 10 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -3x = 6 + 0 10 + -3x = 6 Add '-10' to each side of the equation. 10 + -10 + -3x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 6 + -10 -3x = 6 + -10 Combine like terms: 6 + -10 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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