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Simplifying 2(3x + -4) + -1(3x + -6) = 2(4x + 4) + -1(2x + 5) Reorder the terms: 2(-4 + 3x) + -1(3x + -6) = 2(4x + 4) + -1(2x + 5) (-4 * 2 + 3x * 2) + -1(3x + -6) = 2(4x + 4) + -1(2x + 5) (-8 + 6x) + -1(3x + -6) = 2(4x + 4) + -1(2x + 5) Reorder the terms: -8 + 6x + -1(-6 + 3x) = 2(4x + 4) + -1(2x + 5) -8 + 6x + (-6 * -1 + 3x * -1) = 2(4x + 4) + -1(2x + 5) -8 + 6x + (6 + -3x) = 2(4x + 4) + -1(2x + 5) Reorder the terms: -8 + 6 + 6x + -3x = 2(4x + 4) + -1(2x + 5) Combine like terms: -8 + 6 = -2 -2 + 6x + -3x = 2(4x + 4) + -1(2x + 5) Combine like terms: 6x + -3x = 3x -2 + 3x = 2(4x + 4) + -1(2x + 5) Reorder the terms: -2 + 3x = 2(4 + 4x) + -1(2x + 5) -2 + 3x = (4 * 2 + 4x * 2) + -1(2x + 5) -2 + 3x = (8 + 8x) + -1(2x + 5) Reorder the terms: -2 + 3x = 8 + 8x + -1(5 + 2x) -2 + 3x = 8 + 8x + (5 * -1 + 2x * -1) -2 + 3x = 8 + 8x + (-5 + -2x) Reorder the terms: -2 + 3x = 8 + -5 + 8x + -2x Combine like terms: 8 + -5 = 3 -2 + 3x = 3 + 8x + -2x Combine like terms: 8x + -2x = 6x -2 + 3x = 3 + 6x Solving -2 + 3x = 3 + 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. -2 + 3x + -6x = 3 + 6x + -6x Combine like terms: 3x + -6x = -3x -2 + -3x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -3x = 3 + 0 -2 + -3x = 3 Add '2' to each side of the equation. -2 + 2 + -3x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 3 + 2 -3x = 3 + 2 Combine like terms: 3 + 2 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667
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