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Simplifying 3(x + -4) + 6x = 3(2 + -1x) * 6 Reorder the terms: 3(-4 + x) + 6x = 3(2 + -1x) * 6 (-4 * 3 + x * 3) + 6x = 3(2 + -1x) * 6 (-12 + 3x) + 6x = 3(2 + -1x) * 6 Combine like terms: 3x + 6x = 9x -12 + 9x = 3(2 + -1x) * 6 Reorder the terms for easier multiplication: -12 + 9x = 3 * 6(2 + -1x) Multiply 3 * 6 -12 + 9x = 18(2 + -1x) -12 + 9x = (2 * 18 + -1x * 18) -12 + 9x = (36 + -18x) Solving -12 + 9x = 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. -12 + 9x + 18x = 36 + -18x + 18x Combine like terms: 9x + 18x = 27x -12 + 27x = 36 + -18x + 18x Combine like terms: -18x + 18x = 0 -12 + 27x = 36 + 0 -12 + 27x = 36 Add '12' to each side of the equation. -12 + 12 + 27x = 36 + 12 Combine like terms: -12 + 12 = 0 0 + 27x = 36 + 12 27x = 36 + 12 Combine like terms: 36 + 12 = 48 27x = 48 Divide each side by '27'. x = 1.777777778 Simplifying x = 1.777777778
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