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Simplifying 10x + -2(x + -4) = 60 + -3(x + 4) Reorder the terms: 10x + -2(-4 + x) = 60 + -3(x + 4) 10x + (-4 * -2 + x * -2) = 60 + -3(x + 4) 10x + (8 + -2x) = 60 + -3(x + 4) Reorder the terms: 8 + 10x + -2x = 60 + -3(x + 4) Combine like terms: 10x + -2x = 8x 8 + 8x = 60 + -3(x + 4) Reorder the terms: 8 + 8x = 60 + -3(4 + x) 8 + 8x = 60 + (4 * -3 + x * -3) 8 + 8x = 60 + (-12 + -3x) Combine like terms: 60 + -12 = 48 8 + 8x = 48 + -3x Solving 8 + 8x = 48 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 8x + 3x = 48 + -3x + 3x Combine like terms: 8x + 3x = 11x 8 + 11x = 48 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 11x = 48 + 0 8 + 11x = 48 Add '-8' to each side of the equation. 8 + -8 + 11x = 48 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 48 + -8 11x = 48 + -8 Combine like terms: 48 + -8 = 40 11x = 40 Divide each side by '11'. x = 3.636363636 Simplifying x = 3.636363636
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