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Simplifying 1 + -3x + -2(x + -1) = 5(1 + -2x) * 7 Reorder the terms: 1 + -3x + -2(-1 + x) = 5(1 + -2x) * 7 1 + -3x + (-1 * -2 + x * -2) = 5(1 + -2x) * 7 1 + -3x + (2 + -2x) = 5(1 + -2x) * 7 Reorder the terms: 1 + 2 + -3x + -2x = 5(1 + -2x) * 7 Combine like terms: 1 + 2 = 3 3 + -3x + -2x = 5(1 + -2x) * 7 Combine like terms: -3x + -2x = -5x 3 + -5x = 5(1 + -2x) * 7 Reorder the terms for easier multiplication: 3 + -5x = 5 * 7(1 + -2x) Multiply 5 * 7 3 + -5x = 35(1 + -2x) 3 + -5x = (1 * 35 + -2x * 35) 3 + -5x = (35 + -70x) Solving 3 + -5x = 35 + -70x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70x' to each side of the equation. 3 + -5x + 70x = 35 + -70x + 70x Combine like terms: -5x + 70x = 65x 3 + 65x = 35 + -70x + 70x Combine like terms: -70x + 70x = 0 3 + 65x = 35 + 0 3 + 65x = 35 Add '-3' to each side of the equation. 3 + -3 + 65x = 35 + -3 Combine like terms: 3 + -3 = 0 0 + 65x = 35 + -3 65x = 35 + -3 Combine like terms: 35 + -3 = 32 65x = 32 Divide each side by '65'. x = 0.4923076923 Simplifying x = 0.4923076923
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