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Simplifying 3(4x + -1) + -2(x + 2) = 2(x + 1) Reorder the terms: 3(-1 + 4x) + -2(x + 2) = 2(x + 1) (-1 * 3 + 4x * 3) + -2(x + 2) = 2(x + 1) (-3 + 12x) + -2(x + 2) = 2(x + 1) Reorder the terms: -3 + 12x + -2(2 + x) = 2(x + 1) -3 + 12x + (2 * -2 + x * -2) = 2(x + 1) -3 + 12x + (-4 + -2x) = 2(x + 1) Reorder the terms: -3 + -4 + 12x + -2x = 2(x + 1) Combine like terms: -3 + -4 = -7 -7 + 12x + -2x = 2(x + 1) Combine like terms: 12x + -2x = 10x -7 + 10x = 2(x + 1) Reorder the terms: -7 + 10x = 2(1 + x) -7 + 10x = (1 * 2 + x * 2) -7 + 10x = (2 + 2x) Solving -7 + 10x = 2 + 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. -7 + 10x + -2x = 2 + 2x + -2x Combine like terms: 10x + -2x = 8x -7 + 8x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 8x = 2 + 0 -7 + 8x = 2 Add '7' to each side of the equation. -7 + 7 + 8x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 8x = 2 + 7 8x = 2 + 7 Combine like terms: 2 + 7 = 9 8x = 9 Divide each side by '8'. x = 1.125 Simplifying x = 1.125
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