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Simplifying 3(x + -4) + -6 = 3(-2x + -1x) + 20 Reorder the terms: 3(-4 + x) + -6 = 3(-2x + -1x) + 20 (-4 * 3 + x * 3) + -6 = 3(-2x + -1x) + 20 (-12 + 3x) + -6 = 3(-2x + -1x) + 20 Reorder the terms: -12 + -6 + 3x = 3(-2x + -1x) + 20 Combine like terms: -12 + -6 = -18 -18 + 3x = 3(-2x + -1x) + 20 Combine like terms: -2x + -1x = -3x -18 + 3x = 3(-3x) + 20 Remove parenthesis around (-3x) -18 + 3x = 3 * -3x + 20 Multiply 3 * -3 -18 + 3x = -9x + 20 Reorder the terms: -18 + 3x = 20 + -9x Solving -18 + 3x = 20 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -18 + 3x + 9x = 20 + -9x + 9x Combine like terms: 3x + 9x = 12x -18 + 12x = 20 + -9x + 9x Combine like terms: -9x + 9x = 0 -18 + 12x = 20 + 0 -18 + 12x = 20 Add '18' to each side of the equation. -18 + 18 + 12x = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 20 + 18 12x = 20 + 18 Combine like terms: 20 + 18 = 38 12x = 38 Divide each side by '12'. x = 3.166666667 Simplifying x = 3.166666667
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