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Simplifying 6(x + 2) = 4(2x + 10) Reorder the terms: 6(2 + x) = 4(2x + 10) (2 * 6 + x * 6) = 4(2x + 10) (12 + 6x) = 4(2x + 10) Reorder the terms: 12 + 6x = 4(10 + 2x) 12 + 6x = (10 * 4 + 2x * 4) 12 + 6x = (40 + 8x) Solving 12 + 6x = 40 + 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. 12 + 6x + -8x = 40 + 8x + -8x Combine like terms: 6x + -8x = -2x 12 + -2x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -2x = 40 + 0 12 + -2x = 40 Add '-12' to each side of the equation. 12 + -12 + -2x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 40 + -12 -2x = 40 + -12 Combine like terms: 40 + -12 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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