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Simplifying 4x + 7 = 9(x + -1) + 22 Reorder the terms: 7 + 4x = 9(x + -1) + 22 Reorder the terms: 7 + 4x = 9(-1 + x) + 22 7 + 4x = (-1 * 9 + x * 9) + 22 7 + 4x = (-9 + 9x) + 22 Reorder the terms: 7 + 4x = -9 + 22 + 9x Combine like terms: -9 + 22 = 13 7 + 4x = 13 + 9x Solving 7 + 4x = 13 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 7 + 4x + -9x = 13 + 9x + -9x Combine like terms: 4x + -9x = -5x 7 + -5x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 7 + -5x = 13 + 0 7 + -5x = 13 Add '-7' to each side of the equation. 7 + -7 + -5x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 13 + -7 -5x = 13 + -7 Combine like terms: 13 + -7 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2
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