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Simplifying 3x + -3(2x + -5) = 2(x + 3) + -8 Reorder the terms: 3x + -3(-5 + 2x) = 2(x + 3) + -8 3x + (-5 * -3 + 2x * -3) = 2(x + 3) + -8 3x + (15 + -6x) = 2(x + 3) + -8 Reorder the terms: 15 + 3x + -6x = 2(x + 3) + -8 Combine like terms: 3x + -6x = -3x 15 + -3x = 2(x + 3) + -8 Reorder the terms: 15 + -3x = 2(3 + x) + -8 15 + -3x = (3 * 2 + x * 2) + -8 15 + -3x = (6 + 2x) + -8 Reorder the terms: 15 + -3x = 6 + -8 + 2x Combine like terms: 6 + -8 = -2 15 + -3x = -2 + 2x Solving 15 + -3x = -2 + 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. 15 + -3x + -2x = -2 + 2x + -2x Combine like terms: -3x + -2x = -5x 15 + -5x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -5x = -2 + 0 15 + -5x = -2 Add '-15' to each side of the equation. 15 + -15 + -5x = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = -2 + -15 -5x = -2 + -15 Combine like terms: -2 + -15 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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