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Simplifying 3(4x + 1) + -2(2x + 1) = -2(x + -1) + -1 Reorder the terms: 3(1 + 4x) + -2(2x + 1) = -2(x + -1) + -1 (1 * 3 + 4x * 3) + -2(2x + 1) = -2(x + -1) + -1 (3 + 12x) + -2(2x + 1) = -2(x + -1) + -1 Reorder the terms: 3 + 12x + -2(1 + 2x) = -2(x + -1) + -1 3 + 12x + (1 * -2 + 2x * -2) = -2(x + -1) + -1 3 + 12x + (-2 + -4x) = -2(x + -1) + -1 Reorder the terms: 3 + -2 + 12x + -4x = -2(x + -1) + -1 Combine like terms: 3 + -2 = 1 1 + 12x + -4x = -2(x + -1) + -1 Combine like terms: 12x + -4x = 8x 1 + 8x = -2(x + -1) + -1 Reorder the terms: 1 + 8x = -2(-1 + x) + -1 1 + 8x = (-1 * -2 + x * -2) + -1 1 + 8x = (2 + -2x) + -1 Reorder the terms: 1 + 8x = 2 + -1 + -2x Combine like terms: 2 + -1 = 1 1 + 8x = 1 + -2x Add '-1' to each side of the equation. 1 + -1 + 8x = 1 + -1 + -2x Combine like terms: 1 + -1 = 0 0 + 8x = 1 + -1 + -2x 8x = 1 + -1 + -2x Combine like terms: 1 + -1 = 0 8x = 0 + -2x 8x = -2x Solving 8x = -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. 8x + 2x = -2x + 2x Combine like terms: 8x + 2x = 10x 10x = -2x + 2x Combine like terms: -2x + 2x = 0 10x = 0 Divide each side by '10'. x = 0.0 Simplifying x = 0.0
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