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Simplifying 3(x + -1) + -4(2x + -4) = -2x + 22 Reorder the terms: 3(-1 + x) + -4(2x + -4) = -2x + 22 (-1 * 3 + x * 3) + -4(2x + -4) = -2x + 22 (-3 + 3x) + -4(2x + -4) = -2x + 22 Reorder the terms: -3 + 3x + -4(-4 + 2x) = -2x + 22 -3 + 3x + (-4 * -4 + 2x * -4) = -2x + 22 -3 + 3x + (16 + -8x) = -2x + 22 Reorder the terms: -3 + 16 + 3x + -8x = -2x + 22 Combine like terms: -3 + 16 = 13 13 + 3x + -8x = -2x + 22 Combine like terms: 3x + -8x = -5x 13 + -5x = -2x + 22 Reorder the terms: 13 + -5x = 22 + -2x Solving 13 + -5x = 22 + -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. 13 + -5x + 2x = 22 + -2x + 2x Combine like terms: -5x + 2x = -3x 13 + -3x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + -3x = 22 + 0 13 + -3x = 22 Add '-13' to each side of the equation. 13 + -13 + -3x = 22 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 22 + -13 -3x = 22 + -13 Combine like terms: 22 + -13 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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