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Simplifying 6x + -2(4x + -6) = 2x + -24 Reorder the terms: 6x + -2(-6 + 4x) = 2x + -24 6x + (-6 * -2 + 4x * -2) = 2x + -24 6x + (12 + -8x) = 2x + -24 Reorder the terms: 12 + 6x + -8x = 2x + -24 Combine like terms: 6x + -8x = -2x 12 + -2x = 2x + -24 Reorder the terms: 12 + -2x = -24 + 2x Solving 12 + -2x = -24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + -2x + -2x = -24 + 2x + -2x Combine like terms: -2x + -2x = -4x 12 + -4x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -4x = -24 + 0 12 + -4x = -24 Add '-12' to each side of the equation. 12 + -12 + -4x = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -24 + -12 -4x = -24 + -12 Combine like terms: -24 + -12 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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