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Simplifying 2x + 4(x + 1) = 6(x + 2) * 3 Reorder the terms: 2x + 4(1 + x) = 6(x + 2) * 3 2x + (1 * 4 + x * 4) = 6(x + 2) * 3 2x + (4 + 4x) = 6(x + 2) * 3 Reorder the terms: 4 + 2x + 4x = 6(x + 2) * 3 Combine like terms: 2x + 4x = 6x 4 + 6x = 6(x + 2) * 3 Reorder the terms: 4 + 6x = 6(2 + x) * 3 Reorder the terms for easier multiplication: 4 + 6x = 6 * 3(2 + x) Multiply 6 * 3 4 + 6x = 18(2 + x) 4 + 6x = (2 * 18 + x * 18) 4 + 6x = (36 + 18x) Solving 4 + 6x = 36 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 4 + 6x + -18x = 36 + 18x + -18x Combine like terms: 6x + -18x = -12x 4 + -12x = 36 + 18x + -18x Combine like terms: 18x + -18x = 0 4 + -12x = 36 + 0 4 + -12x = 36 Add '-4' to each side of the equation. 4 + -4 + -12x = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 36 + -4 -12x = 36 + -4 Combine like terms: 36 + -4 = 32 -12x = 32 Divide each side by '-12'. x = -2.666666667 Simplifying x = -2.666666667
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