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Simplifying 8(x + 3) = 10(x + 7) Reorder the terms: 8(3 + x) = 10(x + 7) (3 * 8 + x * 8) = 10(x + 7) (24 + 8x) = 10(x + 7) Reorder the terms: 24 + 8x = 10(7 + x) 24 + 8x = (7 * 10 + x * 10) 24 + 8x = (70 + 10x) Solving 24 + 8x = 70 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 8x + -10x = 70 + 10x + -10x Combine like terms: 8x + -10x = -2x 24 + -2x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + -2x = 70 + 0 24 + -2x = 70 Add '-24' to each side of the equation. 24 + -24 + -2x = 70 + -24 Combine like terms: 24 + -24 = 0 0 + -2x = 70 + -24 -2x = 70 + -24 Combine like terms: 70 + -24 = 46 -2x = 46 Divide each side by '-2'. x = -23 Simplifying x = -23
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