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Simplifying 6(x + -2) + 20 = 3(x + -3) Reorder the terms: 6(-2 + x) + 20 = 3(x + -3) (-2 * 6 + x * 6) + 20 = 3(x + -3) (-12 + 6x) + 20 = 3(x + -3) Reorder the terms: -12 + 20 + 6x = 3(x + -3) Combine like terms: -12 + 20 = 8 8 + 6x = 3(x + -3) Reorder the terms: 8 + 6x = 3(-3 + x) 8 + 6x = (-3 * 3 + x * 3) 8 + 6x = (-9 + 3x) Solving 8 + 6x = -9 + 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. 8 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x 8 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 3x = -9 + 0 8 + 3x = -9 Add '-8' to each side of the equation. 8 + -8 + 3x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -9 + -8 3x = -9 + -8 Combine like terms: -9 + -8 = -17 3x = -17 Divide each side by '3'. x = -5.666666667 Simplifying x = -5.666666667
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