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Simplifying 6(x + -2) + -3(2x + -4) = 20 + 6x Reorder the terms: 6(-2 + x) + -3(2x + -4) = 20 + 6x (-2 * 6 + x * 6) + -3(2x + -4) = 20 + 6x (-12 + 6x) + -3(2x + -4) = 20 + 6x Reorder the terms: -12 + 6x + -3(-4 + 2x) = 20 + 6x -12 + 6x + (-4 * -3 + 2x * -3) = 20 + 6x -12 + 6x + (12 + -6x) = 20 + 6x Reorder the terms: -12 + 12 + 6x + -6x = 20 + 6x Combine like terms: -12 + 12 = 0 0 + 6x + -6x = 20 + 6x 6x + -6x = 20 + 6x Combine like terms: 6x + -6x = 0 0 = 20 + 6x Solving 0 = 20 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 0 + -6x = 20 + 6x + -6x Remove the zero: -6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -6x = 20 + 0 -6x = 20 Divide each side by '-6'. x = -3.333333333 Simplifying x = -3.333333333
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