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Simplifying 7x + 4(x + 3) = 10(x + 12) Reorder the terms: 7x + 4(3 + x) = 10(x + 12) 7x + (3 * 4 + x * 4) = 10(x + 12) 7x + (12 + 4x) = 10(x + 12) Reorder the terms: 12 + 7x + 4x = 10(x + 12) Combine like terms: 7x + 4x = 11x 12 + 11x = 10(x + 12) Reorder the terms: 12 + 11x = 10(12 + x) 12 + 11x = (12 * 10 + x * 10) 12 + 11x = (120 + 10x) Solving 12 + 11x = 120 + 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. 12 + 11x + -10x = 120 + 10x + -10x Combine like terms: 11x + -10x = 1x 12 + 1x = 120 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + 1x = 120 + 0 12 + 1x = 120 Add '-12' to each side of the equation. 12 + -12 + 1x = 120 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 120 + -12 1x = 120 + -12 Combine like terms: 120 + -12 = 108 1x = 108 Divide each side by '1'. x = 108 Simplifying x = 108
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