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Simplifying -5(x + -2) + 3x = 3(x + -3) + 7 Reorder the terms: -5(-2 + x) + 3x = 3(x + -3) + 7 (-2 * -5 + x * -5) + 3x = 3(x + -3) + 7 (10 + -5x) + 3x = 3(x + -3) + 7 Combine like terms: -5x + 3x = -2x 10 + -2x = 3(x + -3) + 7 Reorder the terms: 10 + -2x = 3(-3 + x) + 7 10 + -2x = (-3 * 3 + x * 3) + 7 10 + -2x = (-9 + 3x) + 7 Reorder the terms: 10 + -2x = -9 + 7 + 3x Combine like terms: -9 + 7 = -2 10 + -2x = -2 + 3x Solving 10 + -2x = -2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -2x + -3x = -2 + 3x + -3x Combine like terms: -2x + -3x = -5x 10 + -5x = -2 + 3x + -3x Combine like terms: 3x + -3x = 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 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4
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