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Simplifying -2x + 14 = 8(x + 10) + 24 Reorder the terms: 14 + -2x = 8(x + 10) + 24 Reorder the terms: 14 + -2x = 8(10 + x) + 24 14 + -2x = (10 * 8 + x * 8) + 24 14 + -2x = (80 + 8x) + 24 Reorder the terms: 14 + -2x = 80 + 24 + 8x Combine like terms: 80 + 24 = 104 14 + -2x = 104 + 8x Solving 14 + -2x = 104 + 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. 14 + -2x + -8x = 104 + 8x + -8x Combine like terms: -2x + -8x = -10x 14 + -10x = 104 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -10x = 104 + 0 14 + -10x = 104 Add '-14' to each side of the equation. 14 + -14 + -10x = 104 + -14 Combine like terms: 14 + -14 = 0 0 + -10x = 104 + -14 -10x = 104 + -14 Combine like terms: 104 + -14 = 90 -10x = 90 Divide each side by '-10'. x = -9 Simplifying x = -9
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