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