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Simplifying 10(x + 1) = 7(x + 4) Reorder the terms: 10(1 + x) = 7(x + 4) (1 * 10 + x * 10) = 7(x + 4) (10 + 10x) = 7(x + 4) Reorder the terms: 10 + 10x = 7(4 + x) 10 + 10x = (4 * 7 + x * 7) 10 + 10x = (28 + 7x) Solving 10 + 10x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 10x + -7x = 28 + 7x + -7x Combine like terms: 10x + -7x = 3x 10 + 3x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 3x = 28 + 0 10 + 3x = 28 Add '-10' to each side of the equation. 10 + -10 + 3x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 28 + -10 3x = 28 + -10 Combine like terms: 28 + -10 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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