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Simplifying 5(3x + -2) = 2(x + 1) Reorder the terms: 5(-2 + 3x) = 2(x + 1) (-2 * 5 + 3x * 5) = 2(x + 1) (-10 + 15x) = 2(x + 1) Reorder the terms: -10 + 15x = 2(1 + x) -10 + 15x = (1 * 2 + x * 2) -10 + 15x = (2 + 2x) Solving -10 + 15x = 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. -10 + 15x + -2x = 2 + 2x + -2x Combine like terms: 15x + -2x = 13x -10 + 13x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 13x = 2 + 0 -10 + 13x = 2 Add '10' to each side of the equation. -10 + 10 + 13x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 2 + 10 13x = 2 + 10 Combine like terms: 2 + 10 = 12 13x = 12 Divide each side by '13'. x = 0.9230769231 Simplifying x = 0.9230769231
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