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Simplifying 5x + -4(x + -1) = 3x + 22 Reorder the terms: 5x + -4(-1 + x) = 3x + 22 5x + (-1 * -4 + x * -4) = 3x + 22 5x + (4 + -4x) = 3x + 22 Reorder the terms: 4 + 5x + -4x = 3x + 22 Combine like terms: 5x + -4x = 1x 4 + 1x = 3x + 22 Reorder the terms: 4 + 1x = 22 + 3x Solving 4 + 1x = 22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 1x + -3x = 22 + 3x + -3x Combine like terms: 1x + -3x = -2x 4 + -2x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -2x = 22 + 0 4 + -2x = 22 Add '-4' to each side of the equation. 4 + -4 + -2x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 22 + -4 -2x = 22 + -4 Combine like terms: 22 + -4 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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