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Simplifying 8(x + 5) = 10(x + 3) Reorder the terms: 8(5 + x) = 10(x + 3) (5 * 8 + x * 8) = 10(x + 3) (40 + 8x) = 10(x + 3) Reorder the terms: 40 + 8x = 10(3 + x) 40 + 8x = (3 * 10 + x * 10) 40 + 8x = (30 + 10x) Solving 40 + 8x = 30 + 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. 40 + 8x + -10x = 30 + 10x + -10x Combine like terms: 8x + -10x = -2x 40 + -2x = 30 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + -2x = 30 + 0 40 + -2x = 30 Add '-40' to each side of the equation. 40 + -40 + -2x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + -2x = 30 + -40 -2x = 30 + -40 Combine like terms: 30 + -40 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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