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Simplifying 10 + -3(x + -4) = 5(12 + -2x) Reorder the terms: 10 + -3(-4 + x) = 5(12 + -2x) 10 + (-4 * -3 + x * -3) = 5(12 + -2x) 10 + (12 + -3x) = 5(12 + -2x) Combine like terms: 10 + 12 = 22 22 + -3x = 5(12 + -2x) 22 + -3x = (12 * 5 + -2x * 5) 22 + -3x = (60 + -10x) Solving 22 + -3x = 60 + -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. 22 + -3x + 10x = 60 + -10x + 10x Combine like terms: -3x + 10x = 7x 22 + 7x = 60 + -10x + 10x Combine like terms: -10x + 10x = 0 22 + 7x = 60 + 0 22 + 7x = 60 Add '-22' to each side of the equation. 22 + -22 + 7x = 60 + -22 Combine like terms: 22 + -22 = 0 0 + 7x = 60 + -22 7x = 60 + -22 Combine like terms: 60 + -22 = 38 7x = 38 Divide each side by '7'. x = 5.428571429 Simplifying x = 5.428571429
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