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Simplifying 2(1 + -1x) = 3(1 + 2x) * 5 (1 * 2 + -1x * 2) = 3(1 + 2x) * 5 (2 + -2x) = 3(1 + 2x) * 5 Reorder the terms for easier multiplication: 2 + -2x = 3 * 5(1 + 2x) Multiply 3 * 5 2 + -2x = 15(1 + 2x) 2 + -2x = (1 * 15 + 2x * 15) 2 + -2x = (15 + 30x) Solving 2 + -2x = 15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 2 + -2x + -30x = 15 + 30x + -30x Combine like terms: -2x + -30x = -32x 2 + -32x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 2 + -32x = 15 + 0 2 + -32x = 15 Add '-2' to each side of the equation. 2 + -2 + -32x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -32x = 15 + -2 -32x = 15 + -2 Combine like terms: 15 + -2 = 13 -32x = 13 Divide each side by '-32'. x = -0.40625 Simplifying x = -0.40625
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