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Simplifying 2(x + -6) = 2(3x + -24) Reorder the terms: 2(-6 + x) = 2(3x + -24) (-6 * 2 + x * 2) = 2(3x + -24) (-12 + 2x) = 2(3x + -24) Reorder the terms: -12 + 2x = 2(-24 + 3x) -12 + 2x = (-24 * 2 + 3x * 2) -12 + 2x = (-48 + 6x) Solving -12 + 2x = -48 + 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. -12 + 2x + -6x = -48 + 6x + -6x Combine like terms: 2x + -6x = -4x -12 + -4x = -48 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -4x = -48 + 0 -12 + -4x = -48 Add '12' to each side of the equation. -12 + 12 + -4x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -48 + 12 -4x = -48 + 12 Combine like terms: -48 + 12 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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