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Simplifying 11x + -12(4 + -4x + -8) = 60x + 10 Reorder the terms: 11x + -12(4 + -8 + -4x) = 60x + 10 Combine like terms: 4 + -8 = -4 11x + -12(-4 + -4x) = 60x + 10 11x + (-4 * -12 + -4x * -12) = 60x + 10 11x + (48 + 48x) = 60x + 10 Reorder the terms: 48 + 11x + 48x = 60x + 10 Combine like terms: 11x + 48x = 59x 48 + 59x = 60x + 10 Reorder the terms: 48 + 59x = 10 + 60x Solving 48 + 59x = 10 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 48 + 59x + -60x = 10 + 60x + -60x Combine like terms: 59x + -60x = -1x 48 + -1x = 10 + 60x + -60x Combine like terms: 60x + -60x = 0 48 + -1x = 10 + 0 48 + -1x = 10 Add '-48' to each side of the equation. 48 + -48 + -1x = 10 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 10 + -48 -1x = 10 + -48 Combine like terms: 10 + -48 = -38 -1x = -38 Divide each side by '-1'. x = 38 Simplifying x = 38
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