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Simplifying 3(x + -1) + -4(x + 1) = 22 Reorder the terms: 3(-1 + x) + -4(x + 1) = 22 (-1 * 3 + x * 3) + -4(x + 1) = 22 (-3 + 3x) + -4(x + 1) = 22 Reorder the terms: -3 + 3x + -4(1 + x) = 22 -3 + 3x + (1 * -4 + x * -4) = 22 -3 + 3x + (-4 + -4x) = 22 Reorder the terms: -3 + -4 + 3x + -4x = 22 Combine like terms: -3 + -4 = -7 -7 + 3x + -4x = 22 Combine like terms: 3x + -4x = -1x -7 + -1x = 22 Solving -7 + -1x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1x = 22 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 22 + 7 -1x = 22 + 7 Combine like terms: 22 + 7 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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