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Simplifying 3(x + 3) + -1(x + -3) = 2x + -4(x + -1) Reorder the terms: 3(3 + x) + -1(x + -3) = 2x + -4(x + -1) (3 * 3 + x * 3) + -1(x + -3) = 2x + -4(x + -1) (9 + 3x) + -1(x + -3) = 2x + -4(x + -1) Reorder the terms: 9 + 3x + -1(-3 + x) = 2x + -4(x + -1) 9 + 3x + (-3 * -1 + x * -1) = 2x + -4(x + -1) 9 + 3x + (3 + -1x) = 2x + -4(x + -1) Reorder the terms: 9 + 3 + 3x + -1x = 2x + -4(x + -1) Combine like terms: 9 + 3 = 12 12 + 3x + -1x = 2x + -4(x + -1) Combine like terms: 3x + -1x = 2x 12 + 2x = 2x + -4(x + -1) Reorder the terms: 12 + 2x = 2x + -4(-1 + x) 12 + 2x = 2x + (-1 * -4 + x * -4) 12 + 2x = 2x + (4 + -4x) Reorder the terms: 12 + 2x = 4 + 2x + -4x Combine like terms: 2x + -4x = -2x 12 + 2x = 4 + -2x Solving 12 + 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. 12 + 2x + 2x = 4 + -2x + 2x Combine like terms: 2x + 2x = 4x 12 + 4x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 4x = 4 + 0 12 + 4x = 4 Add '-12' to each side of the equation. 12 + -12 + 4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 4 + -12 4x = 4 + -12 Combine like terms: 4 + -12 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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