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Simplifying 3(4x + -6) = 2(4x + -3) + -1(x + -8) Reorder the terms: 3(-6 + 4x) = 2(4x + -3) + -1(x + -8) (-6 * 3 + 4x * 3) = 2(4x + -3) + -1(x + -8) (-18 + 12x) = 2(4x + -3) + -1(x + -8) Reorder the terms: -18 + 12x = 2(-3 + 4x) + -1(x + -8) -18 + 12x = (-3 * 2 + 4x * 2) + -1(x + -8) -18 + 12x = (-6 + 8x) + -1(x + -8) Reorder the terms: -18 + 12x = -6 + 8x + -1(-8 + x) -18 + 12x = -6 + 8x + (-8 * -1 + x * -1) -18 + 12x = -6 + 8x + (8 + -1x) Reorder the terms: -18 + 12x = -6 + 8 + 8x + -1x Combine like terms: -6 + 8 = 2 -18 + 12x = 2 + 8x + -1x Combine like terms: 8x + -1x = 7x -18 + 12x = 2 + 7x Solving -18 + 12x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -18 + 12x + -7x = 2 + 7x + -7x Combine like terms: 12x + -7x = 5x -18 + 5x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -18 + 5x = 2 + 0 -18 + 5x = 2 Add '18' to each side of the equation. -18 + 18 + 5x = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5x = 2 + 18 5x = 2 + 18 Combine like terms: 2 + 18 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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