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Simplifying 6(x + -1) + -4(3x + -5) = 3(2x + 4) + -2(4x + 5) Reorder the terms: 6(-1 + x) + -4(3x + -5) = 3(2x + 4) + -2(4x + 5) (-1 * 6 + x * 6) + -4(3x + -5) = 3(2x + 4) + -2(4x + 5) (-6 + 6x) + -4(3x + -5) = 3(2x + 4) + -2(4x + 5) Reorder the terms: -6 + 6x + -4(-5 + 3x) = 3(2x + 4) + -2(4x + 5) -6 + 6x + (-5 * -4 + 3x * -4) = 3(2x + 4) + -2(4x + 5) -6 + 6x + (20 + -12x) = 3(2x + 4) + -2(4x + 5) Reorder the terms: -6 + 20 + 6x + -12x = 3(2x + 4) + -2(4x + 5) Combine like terms: -6 + 20 = 14 14 + 6x + -12x = 3(2x + 4) + -2(4x + 5) Combine like terms: 6x + -12x = -6x 14 + -6x = 3(2x + 4) + -2(4x + 5) Reorder the terms: 14 + -6x = 3(4 + 2x) + -2(4x + 5) 14 + -6x = (4 * 3 + 2x * 3) + -2(4x + 5) 14 + -6x = (12 + 6x) + -2(4x + 5) Reorder the terms: 14 + -6x = 12 + 6x + -2(5 + 4x) 14 + -6x = 12 + 6x + (5 * -2 + 4x * -2) 14 + -6x = 12 + 6x + (-10 + -8x) Reorder the terms: 14 + -6x = 12 + -10 + 6x + -8x Combine like terms: 12 + -10 = 2 14 + -6x = 2 + 6x + -8x Combine like terms: 6x + -8x = -2x 14 + -6x = 2 + -2x Solving 14 + -6x = 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. 14 + -6x + 2x = 2 + -2x + 2x Combine like terms: -6x + 2x = -4x 14 + -4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + -4x = 2 + 0 14 + -4x = 2 Add '-14' to each side of the equation. 14 + -14 + -4x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = 2 + -14 -4x = 2 + -14 Combine like terms: 2 + -14 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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