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Simplifying 2(x + 36) = 6(4x + -10) Reorder the terms: 2(36 + x) = 6(4x + -10) (36 * 2 + x * 2) = 6(4x + -10) (72 + 2x) = 6(4x + -10) Reorder the terms: 72 + 2x = 6(-10 + 4x) 72 + 2x = (-10 * 6 + 4x * 6) 72 + 2x = (-60 + 24x) Solving 72 + 2x = -60 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 72 + 2x + -24x = -60 + 24x + -24x Combine like terms: 2x + -24x = -22x 72 + -22x = -60 + 24x + -24x Combine like terms: 24x + -24x = 0 72 + -22x = -60 + 0 72 + -22x = -60 Add '-72' to each side of the equation. 72 + -72 + -22x = -60 + -72 Combine like terms: 72 + -72 = 0 0 + -22x = -60 + -72 -22x = -60 + -72 Combine like terms: -60 + -72 = -132 -22x = -132 Divide each side by '-22'. x = 6 Simplifying x = 6
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