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Simplifying 15(x + 2) + -8 = 16x + 24 Reorder the terms: 15(2 + x) + -8 = 16x + 24 (2 * 15 + x * 15) + -8 = 16x + 24 (30 + 15x) + -8 = 16x + 24 Reorder the terms: 30 + -8 + 15x = 16x + 24 Combine like terms: 30 + -8 = 22 22 + 15x = 16x + 24 Reorder the terms: 22 + 15x = 24 + 16x Solving 22 + 15x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 22 + 15x + -16x = 24 + 16x + -16x Combine like terms: 15x + -16x = -1x 22 + -1x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 22 + -1x = 24 + 0 22 + -1x = 24 Add '-22' to each side of the equation. 22 + -22 + -1x = 24 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 24 + -22 -1x = 24 + -22 Combine like terms: 24 + -22 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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