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Simplifying 4(x + 3) + -2(x + -4) = x + -1(-4 + 3x) Reorder the terms: 4(3 + x) + -2(x + -4) = x + -1(-4 + 3x) (3 * 4 + x * 4) + -2(x + -4) = x + -1(-4 + 3x) (12 + 4x) + -2(x + -4) = x + -1(-4 + 3x) Reorder the terms: 12 + 4x + -2(-4 + x) = x + -1(-4 + 3x) 12 + 4x + (-4 * -2 + x * -2) = x + -1(-4 + 3x) 12 + 4x + (8 + -2x) = x + -1(-4 + 3x) Reorder the terms: 12 + 8 + 4x + -2x = x + -1(-4 + 3x) Combine like terms: 12 + 8 = 20 20 + 4x + -2x = x + -1(-4 + 3x) Combine like terms: 4x + -2x = 2x 20 + 2x = x + -1(-4 + 3x) 20 + 2x = x + (-4 * -1 + 3x * -1) 20 + 2x = x + (4 + -3x) Reorder the terms: 20 + 2x = 4 + x + -3x Combine like terms: x + -3x = -2x 20 + 2x = 4 + -2x Solving 20 + 2x = 4 + -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. 20 + 2x + 2x = 4 + -2x + 2x Combine like terms: 2x + 2x = 4x 20 + 4x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 20 + 4x = 4 + 0 20 + 4x = 4 Add '-20' to each side of the equation. 20 + -20 + 4x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 4 + -20 4x = 4 + -20 Combine like terms: 4 + -20 = -16 4x = -16 Divide each side by '4'. x = -4 Simplifying x = -4
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