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Simplifying 3(x + -4) + -6 = 3(-2 + -1x) + 20 Reorder the terms: 3(-4 + x) + -6 = 3(-2 + -1x) + 20 (-4 * 3 + x * 3) + -6 = 3(-2 + -1x) + 20 (-12 + 3x) + -6 = 3(-2 + -1x) + 20 Reorder the terms: -12 + -6 + 3x = 3(-2 + -1x) + 20 Combine like terms: -12 + -6 = -18 -18 + 3x = 3(-2 + -1x) + 20 -18 + 3x = (-2 * 3 + -1x * 3) + 20 -18 + 3x = (-6 + -3x) + 20 Reorder the terms: -18 + 3x = -6 + 20 + -3x Combine like terms: -6 + 20 = 14 -18 + 3x = 14 + -3x Solving -18 + 3x = 14 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -18 + 3x + 3x = 14 + -3x + 3x Combine like terms: 3x + 3x = 6x -18 + 6x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 -18 + 6x = 14 + 0 -18 + 6x = 14 Add '18' to each side of the equation. -18 + 18 + 6x = 14 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 14 + 18 6x = 14 + 18 Combine like terms: 14 + 18 = 32 6x = 32 Divide each side by '6'. x = 5.333333333 Simplifying x = 5.333333333
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