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Simplifying 4(x + -1) + 2(2x + -3) = 12 + -1x + 3(3 + -1x) Reorder the terms: 4(-1 + x) + 2(2x + -3) = 12 + -1x + 3(3 + -1x) (-1 * 4 + x * 4) + 2(2x + -3) = 12 + -1x + 3(3 + -1x) (-4 + 4x) + 2(2x + -3) = 12 + -1x + 3(3 + -1x) Reorder the terms: -4 + 4x + 2(-3 + 2x) = 12 + -1x + 3(3 + -1x) -4 + 4x + (-3 * 2 + 2x * 2) = 12 + -1x + 3(3 + -1x) -4 + 4x + (-6 + 4x) = 12 + -1x + 3(3 + -1x) Reorder the terms: -4 + -6 + 4x + 4x = 12 + -1x + 3(3 + -1x) Combine like terms: -4 + -6 = -10 -10 + 4x + 4x = 12 + -1x + 3(3 + -1x) Combine like terms: 4x + 4x = 8x -10 + 8x = 12 + -1x + 3(3 + -1x) -10 + 8x = 12 + -1x + (3 * 3 + -1x * 3) -10 + 8x = 12 + -1x + (9 + -3x) Reorder the terms: -10 + 8x = 12 + 9 + -1x + -3x Combine like terms: 12 + 9 = 21 -10 + 8x = 21 + -1x + -3x Combine like terms: -1x + -3x = -4x -10 + 8x = 21 + -4x Solving -10 + 8x = 21 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 8x + 4x = 21 + -4x + 4x Combine like terms: 8x + 4x = 12x -10 + 12x = 21 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 12x = 21 + 0 -10 + 12x = 21 Add '10' to each side of the equation. -10 + 10 + 12x = 21 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 21 + 10 12x = 21 + 10 Combine like terms: 21 + 10 = 31 12x = 31 Divide each side by '12'. x = 2.583333333 Simplifying x = 2.583333333
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