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Simplifying 6(2x + -3) + -4(2 + -1x) = 3x + -2(x + 3) Reorder the terms: 6(-3 + 2x) + -4(2 + -1x) = 3x + -2(x + 3) (-3 * 6 + 2x * 6) + -4(2 + -1x) = 3x + -2(x + 3) (-18 + 12x) + -4(2 + -1x) = 3x + -2(x + 3) -18 + 12x + (2 * -4 + -1x * -4) = 3x + -2(x + 3) -18 + 12x + (-8 + 4x) = 3x + -2(x + 3) Reorder the terms: -18 + -8 + 12x + 4x = 3x + -2(x + 3) Combine like terms: -18 + -8 = -26 -26 + 12x + 4x = 3x + -2(x + 3) Combine like terms: 12x + 4x = 16x -26 + 16x = 3x + -2(x + 3) Reorder the terms: -26 + 16x = 3x + -2(3 + x) -26 + 16x = 3x + (3 * -2 + x * -2) -26 + 16x = 3x + (-6 + -2x) Reorder the terms: -26 + 16x = -6 + 3x + -2x Combine like terms: 3x + -2x = 1x -26 + 16x = -6 + 1x Solving -26 + 16x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + 16x + -1x = -6 + 1x + -1x Combine like terms: 16x + -1x = 15x -26 + 15x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 -26 + 15x = -6 + 0 -26 + 15x = -6 Add '26' to each side of the equation. -26 + 26 + 15x = -6 + 26 Combine like terms: -26 + 26 = 0 0 + 15x = -6 + 26 15x = -6 + 26 Combine like terms: -6 + 26 = 20 15x = 20 Divide each side by '15'. x = 1.333333333 Simplifying x = 1.333333333
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