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Simplifying 4(x + -17) = 9(x + -1) + 22 Reorder the terms: 4(-17 + x) = 9(x + -1) + 22 (-17 * 4 + x * 4) = 9(x + -1) + 22 (-68 + 4x) = 9(x + -1) + 22 Reorder the terms: -68 + 4x = 9(-1 + x) + 22 -68 + 4x = (-1 * 9 + x * 9) + 22 -68 + 4x = (-9 + 9x) + 22 Reorder the terms: -68 + 4x = -9 + 22 + 9x Combine like terms: -9 + 22 = 13 -68 + 4x = 13 + 9x Solving -68 + 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. -68 + 4x + -9x = 13 + 9x + -9x Combine like terms: 4x + -9x = -5x -68 + -5x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 -68 + -5x = 13 + 0 -68 + -5x = 13 Add '68' to each side of the equation. -68 + 68 + -5x = 13 + 68 Combine like terms: -68 + 68 = 0 0 + -5x = 13 + 68 -5x = 13 + 68 Combine like terms: 13 + 68 = 81 -5x = 81 Divide each side by '-5'. x = -16.2 Simplifying x = -16.2
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