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Simplifying 2(x + 5) = 4(2x + -6) Reorder the terms: 2(5 + x) = 4(2x + -6) (5 * 2 + x * 2) = 4(2x + -6) (10 + 2x) = 4(2x + -6) Reorder the terms: 10 + 2x = 4(-6 + 2x) 10 + 2x = (-6 * 4 + 2x * 4) 10 + 2x = (-24 + 8x) Solving 10 + 2x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 10 + 2x + -8x = -24 + 8x + -8x Combine like terms: 2x + -8x = -6x 10 + -6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 10 + -6x = -24 + 0 10 + -6x = -24 Add '-10' to each side of the equation. 10 + -10 + -6x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -24 + -10 -6x = -24 + -10 Combine like terms: -24 + -10 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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