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Simplifying 5x + -3(4x + -8) = 9(x + -1) + 22 Reorder the terms: 5x + -3(-8 + 4x) = 9(x + -1) + 22 5x + (-8 * -3 + 4x * -3) = 9(x + -1) + 22 5x + (24 + -12x) = 9(x + -1) + 22 Reorder the terms: 24 + 5x + -12x = 9(x + -1) + 22 Combine like terms: 5x + -12x = -7x 24 + -7x = 9(x + -1) + 22 Reorder the terms: 24 + -7x = 9(-1 + x) + 22 24 + -7x = (-1 * 9 + x * 9) + 22 24 + -7x = (-9 + 9x) + 22 Reorder the terms: 24 + -7x = -9 + 22 + 9x Combine like terms: -9 + 22 = 13 24 + -7x = 13 + 9x Solving 24 + -7x = 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. 24 + -7x + -9x = 13 + 9x + -9x Combine like terms: -7x + -9x = -16x 24 + -16x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -16x = 13 + 0 24 + -16x = 13 Add '-24' to each side of the equation. 24 + -24 + -16x = 13 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = 13 + -24 -16x = 13 + -24 Combine like terms: 13 + -24 = -11 -16x = -11 Divide each side by '-16'. x = 0.6875 Simplifying x = 0.6875
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