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Simplifying 4(x + -2) + 5(7 + -1x) = 22 Reorder the terms: 4(-2 + x) + 5(7 + -1x) = 22 (-2 * 4 + x * 4) + 5(7 + -1x) = 22 (-8 + 4x) + 5(7 + -1x) = 22 -8 + 4x + (7 * 5 + -1x * 5) = 22 -8 + 4x + (35 + -5x) = 22 Reorder the terms: -8 + 35 + 4x + -5x = 22 Combine like terms: -8 + 35 = 27 27 + 4x + -5x = 22 Combine like terms: 4x + -5x = -1x 27 + -1x = 22 Solving 27 + -1x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 22 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 22 + -27 -1x = 22 + -27 Combine like terms: 22 + -27 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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