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Simplifying 8(x + 2) + -24 = 15x + -29 Reorder the terms: 8(2 + x) + -24 = 15x + -29 (2 * 8 + x * 8) + -24 = 15x + -29 (16 + 8x) + -24 = 15x + -29 Reorder the terms: 16 + -24 + 8x = 15x + -29 Combine like terms: 16 + -24 = -8 -8 + 8x = 15x + -29 Reorder the terms: -8 + 8x = -29 + 15x Solving -8 + 8x = -29 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 8x + -15x = -29 + 15x + -15x Combine like terms: 8x + -15x = -7x -8 + -7x = -29 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + -7x = -29 + 0 -8 + -7x = -29 Add '8' to each side of the equation. -8 + 8 + -7x = -29 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -29 + 8 -7x = -29 + 8 Combine like terms: -29 + 8 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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