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Simplifying 3(4 + x) = 5(10 + x) (4 * 3 + x * 3) = 5(10 + x) (12 + 3x) = 5(10 + x) 12 + 3x = (10 * 5 + x * 5) 12 + 3x = (50 + 5x) Solving 12 + 3x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 3x + -5x = 50 + 5x + -5x Combine like terms: 3x + -5x = -2x 12 + -2x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -2x = 50 + 0 12 + -2x = 50 Add '-12' to each side of the equation. 12 + -12 + -2x = 50 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 50 + -12 -2x = 50 + -12 Combine like terms: 50 + -12 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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