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Simplifying 4(x + 6) = 6(2x + 2) Reorder the terms: 4(6 + x) = 6(2x + 2) (6 * 4 + x * 4) = 6(2x + 2) (24 + 4x) = 6(2x + 2) Reorder the terms: 24 + 4x = 6(2 + 2x) 24 + 4x = (2 * 6 + 2x * 6) 24 + 4x = (12 + 12x) Solving 24 + 4x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 4x + -12x = 12 + 12x + -12x Combine like terms: 4x + -12x = -8x 24 + -8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -8x = 12 + 0 24 + -8x = 12 Add '-24' to each side of the equation. 24 + -24 + -8x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 12 + -24 -8x = 12 + -24 Combine like terms: 12 + -24 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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