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Simplifying -5(3x + -2) = 5x + 7 Reorder the terms: -5(-2 + 3x) = 5x + 7 (-2 * -5 + 3x * -5) = 5x + 7 (10 + -15x) = 5x + 7 Reorder the terms: 10 + -15x = 7 + 5x Solving 10 + -15x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -15x + -5x = 7 + 5x + -5x Combine like terms: -15x + -5x = -20x 10 + -20x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -20x = 7 + 0 10 + -20x = 7 Add '-10' to each side of the equation. 10 + -10 + -20x = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -20x = 7 + -10 -20x = 7 + -10 Combine like terms: 7 + -10 = -3 -20x = -3 Divide each side by '-20'. x = 0.15 Simplifying x = 0.15
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