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Simplifying 3(3x + -1 + 2) = 5(1 + -2x) + -1 Reorder the terms: 3(-1 + 2 + 3x) = 5(1 + -2x) + -1 Combine like terms: -1 + 2 = 1 3(1 + 3x) = 5(1 + -2x) + -1 (1 * 3 + 3x * 3) = 5(1 + -2x) + -1 (3 + 9x) = 5(1 + -2x) + -1 3 + 9x = (1 * 5 + -2x * 5) + -1 3 + 9x = (5 + -10x) + -1 Reorder the terms: 3 + 9x = 5 + -1 + -10x Combine like terms: 5 + -1 = 4 3 + 9x = 4 + -10x Solving 3 + 9x = 4 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 3 + 9x + 10x = 4 + -10x + 10x Combine like terms: 9x + 10x = 19x 3 + 19x = 4 + -10x + 10x Combine like terms: -10x + 10x = 0 3 + 19x = 4 + 0 3 + 19x = 4 Add '-3' to each side of the equation. 3 + -3 + 19x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 19x = 4 + -3 19x = 4 + -3 Combine like terms: 4 + -3 = 1 19x = 1 Divide each side by '19'. x = 0.05263157895 Simplifying x = 0.05263157895
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