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Simplifying 3(2x + -1) + 4(x + 1) = 2(3x + 4) + -9 Reorder the terms: 3(-1 + 2x) + 4(x + 1) = 2(3x + 4) + -9 (-1 * 3 + 2x * 3) + 4(x + 1) = 2(3x + 4) + -9 (-3 + 6x) + 4(x + 1) = 2(3x + 4) + -9 Reorder the terms: -3 + 6x + 4(1 + x) = 2(3x + 4) + -9 -3 + 6x + (1 * 4 + x * 4) = 2(3x + 4) + -9 -3 + 6x + (4 + 4x) = 2(3x + 4) + -9 Reorder the terms: -3 + 4 + 6x + 4x = 2(3x + 4) + -9 Combine like terms: -3 + 4 = 1 1 + 6x + 4x = 2(3x + 4) + -9 Combine like terms: 6x + 4x = 10x 1 + 10x = 2(3x + 4) + -9 Reorder the terms: 1 + 10x = 2(4 + 3x) + -9 1 + 10x = (4 * 2 + 3x * 2) + -9 1 + 10x = (8 + 6x) + -9 Reorder the terms: 1 + 10x = 8 + -9 + 6x Combine like terms: 8 + -9 = -1 1 + 10x = -1 + 6x Solving 1 + 10x = -1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 10x + -6x = -1 + 6x + -6x Combine like terms: 10x + -6x = 4x 1 + 4x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 4x = -1 + 0 1 + 4x = -1 Add '-1' to each side of the equation. 1 + -1 + 4x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -1 + -1 4x = -1 + -1 Combine like terms: -1 + -1 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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