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Simplifying 8(x + 62) = 10(x + 5) Reorder the terms: 8(62 + x) = 10(x + 5) (62 * 8 + x * 8) = 10(x + 5) (496 + 8x) = 10(x + 5) Reorder the terms: 496 + 8x = 10(5 + x) 496 + 8x = (5 * 10 + x * 10) 496 + 8x = (50 + 10x) Solving 496 + 8x = 50 + 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. 496 + 8x + -10x = 50 + 10x + -10x Combine like terms: 8x + -10x = -2x 496 + -2x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 496 + -2x = 50 + 0 496 + -2x = 50 Add '-496' to each side of the equation. 496 + -496 + -2x = 50 + -496 Combine like terms: 496 + -496 = 0 0 + -2x = 50 + -496 -2x = 50 + -496 Combine like terms: 50 + -496 = -446 -2x = -446 Divide each side by '-2'. x = 223 Simplifying x = 223
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