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Simplifying -6 + -2x = 4(3x + -6) Reorder the terms: -6 + -2x = 4(-6 + 3x) -6 + -2x = (-6 * 4 + 3x * 4) -6 + -2x = (-24 + 12x) Solving -6 + -2x = -24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + -2x + -12x = -24 + 12x + -12x Combine like terms: -2x + -12x = -14x -6 + -14x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -14x = -24 + 0 -6 + -14x = -24 Add '6' to each side of the equation. -6 + 6 + -14x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -14x = -24 + 6 -14x = -24 + 6 Combine like terms: -24 + 6 = -18 -14x = -18 Divide each side by '-14'. x = 1.285714286 Simplifying x = 1.285714286
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