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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 = -18 -18 + 12x + 2x = 2(x + -4) Combine like terms: 12x + 2x = 14x -18 + 14x = 2(x + -4) Reorder the terms: -18 + 14x = 2(-4 + x) -18 + 14x = (-4 * 2 + x * 2) -18 + 14x = (-8 + 2x) Solving -18 + 14x = -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. -18 + 14x + -2x = -8 + 2x + -2x Combine like terms: 14x + -2x = 12x -18 + 12x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 12x = -8 + 0 -18 + 12x = -8 Add '18' to each side of the equation. -18 + 18 + 12x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = -8 + 18 12x = -8 + 18 Combine like terms: -8 + 18 = 10 12x = 10 Divide each side by '12'. x = 0.8333333333 Simplifying x = 0.8333333333
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