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Simplifying 3(4x + -5) + -1(2x + -3) = 2(x + -4) Reorder the terms: 3(-5 + 4x) + -1(2x + -3) = 2(x + -4) (-5 * 3 + 4x * 3) + -1(2x + -3) = 2(x + -4) (-15 + 12x) + -1(2x + -3) = 2(x + -4) Reorder the terms: -15 + 12x + -1(-3 + 2x) = 2(x + -4) -15 + 12x + (-3 * -1 + 2x * -1) = 2(x + -4) -15 + 12x + (3 + -2x) = 2(x + -4) Reorder the terms: -15 + 3 + 12x + -2x = 2(x + -4) Combine like terms: -15 + 3 = -12 -12 + 12x + -2x = 2(x + -4) Combine like terms: 12x + -2x = 10x -12 + 10x = 2(x + -4) Reorder the terms: -12 + 10x = 2(-4 + x) -12 + 10x = (-4 * 2 + x * 2) -12 + 10x = (-8 + 2x) Solving -12 + 10x = -8 + 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. -12 + 10x + -2x = -8 + 2x + -2x Combine like terms: 10x + -2x = 8x -12 + 8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 8x = -8 + 0 -12 + 8x = -8 Add '12' to each side of the equation. -12 + 12 + 8x = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -8 + 12 8x = -8 + 12 Combine like terms: -8 + 12 = 4 8x = 4 Divide each side by '8'. x = 0.5 Simplifying x = 0.5
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