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Simplifying 5x + -2(2x + -6) = 12 + -3x Reorder the terms: 5x + -2(-6 + 2x) = 12 + -3x 5x + (-6 * -2 + 2x * -2) = 12 + -3x 5x + (12 + -4x) = 12 + -3x Reorder the terms: 12 + 5x + -4x = 12 + -3x Combine like terms: 5x + -4x = 1x 12 + 1x = 12 + -3x Add '-12' to each side of the equation. 12 + -12 + 1x = 12 + -12 + -3x Combine like terms: 12 + -12 = 0 0 + 1x = 12 + -12 + -3x 1x = 12 + -12 + -3x Combine like terms: 12 + -12 = 0 1x = 0 + -3x 1x = -3x Solving 1x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1x + 3x = -3x + 3x Combine like terms: 1x + 3x = 4x 4x = -3x + 3x Combine like terms: -3x + 3x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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