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Simplifying 5x + 22 = -35 + 8(x + -2) Reorder the terms: 22 + 5x = -35 + 8(x + -2) Reorder the terms: 22 + 5x = -35 + 8(-2 + x) 22 + 5x = -35 + (-2 * 8 + x * 8) 22 + 5x = -35 + (-16 + 8x) Combine like terms: -35 + -16 = -51 22 + 5x = -51 + 8x Solving 22 + 5x = -51 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 22 + 5x + -8x = -51 + 8x + -8x Combine like terms: 5x + -8x = -3x 22 + -3x = -51 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -3x = -51 + 0 22 + -3x = -51 Add '-22' to each side of the equation. 22 + -22 + -3x = -51 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = -51 + -22 -3x = -51 + -22 Combine like terms: -51 + -22 = -73 -3x = -73 Divide each side by '-3'. x = 24.33333333 Simplifying x = 24.33333333
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