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Simplifying -1(5x + 2) + -2 = 3(5x + 3) Reorder the terms: -1(2 + 5x) + -2 = 3(5x + 3) (2 * -1 + 5x * -1) + -2 = 3(5x + 3) (-2 + -5x) + -2 = 3(5x + 3) Reorder the terms: -2 + -2 + -5x = 3(5x + 3) Combine like terms: -2 + -2 = -4 -4 + -5x = 3(5x + 3) Reorder the terms: -4 + -5x = 3(3 + 5x) -4 + -5x = (3 * 3 + 5x * 3) -4 + -5x = (9 + 15x) Solving -4 + -5x = 9 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -4 + -5x + -15x = 9 + 15x + -15x Combine like terms: -5x + -15x = -20x -4 + -20x = 9 + 15x + -15x Combine like terms: 15x + -15x = 0 -4 + -20x = 9 + 0 -4 + -20x = 9 Add '4' to each side of the equation. -4 + 4 + -20x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -20x = 9 + 4 -20x = 9 + 4 Combine like terms: 9 + 4 = 13 -20x = 13 Divide each side by '-20'. x = -0.65 Simplifying x = -0.65
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