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Simplifying 60 = 4(x + -2) + 5(8x + -4) Reorder the terms: 60 = 4(-2 + x) + 5(8x + -4) 60 = (-2 * 4 + x * 4) + 5(8x + -4) 60 = (-8 + 4x) + 5(8x + -4) Reorder the terms: 60 = -8 + 4x + 5(-4 + 8x) 60 = -8 + 4x + (-4 * 5 + 8x * 5) 60 = -8 + 4x + (-20 + 40x) Reorder the terms: 60 = -8 + -20 + 4x + 40x Combine like terms: -8 + -20 = -28 60 = -28 + 4x + 40x Combine like terms: 4x + 40x = 44x 60 = -28 + 44x Solving 60 = -28 + 44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44x' to each side of the equation. 60 + -44x = -28 + 44x + -44x Combine like terms: 44x + -44x = 0 60 + -44x = -28 + 0 60 + -44x = -28 Add '-60' to each side of the equation. 60 + -60 + -44x = -28 + -60 Combine like terms: 60 + -60 = 0 0 + -44x = -28 + -60 -44x = -28 + -60 Combine like terms: -28 + -60 = -88 -44x = -88 Divide each side by '-44'. x = 2 Simplifying x = 2
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