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Simplifying 6(x + -2) + -6 = -6(-5x + 4) + -6x Reorder the terms: 6(-2 + x) + -6 = -6(-5x + 4) + -6x (-2 * 6 + x * 6) + -6 = -6(-5x + 4) + -6x (-12 + 6x) + -6 = -6(-5x + 4) + -6x Reorder the terms: -12 + -6 + 6x = -6(-5x + 4) + -6x Combine like terms: -12 + -6 = -18 -18 + 6x = -6(-5x + 4) + -6x Reorder the terms: -18 + 6x = -6(4 + -5x) + -6x -18 + 6x = (4 * -6 + -5x * -6) + -6x -18 + 6x = (-24 + 30x) + -6x Combine like terms: 30x + -6x = 24x -18 + 6x = -24 + 24x Solving -18 + 6x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -18 + 6x + -24x = -24 + 24x + -24x Combine like terms: 6x + -24x = -18x -18 + -18x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -18 + -18x = -24 + 0 -18 + -18x = -24 Add '18' to each side of the equation. -18 + 18 + -18x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -18x = -24 + 18 -18x = -24 + 18 Combine like terms: -24 + 18 = -6 -18x = -6 Divide each side by '-18'. x = 0.3333333333 Simplifying x = 0.3333333333
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