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Simplifying 6x + 12 = 4 + -1(3 + -2x) + -1 Reorder the terms: 12 + 6x = 4 + -1(3 + -2x) + -1 12 + 6x = 4 + (3 * -1 + -2x * -1) + -1 12 + 6x = 4 + (-3 + 2x) + -1 Reorder the terms: 12 + 6x = 4 + -3 + -1 + 2x Combine like terms: 4 + -3 = 1 12 + 6x = 1 + -1 + 2x Combine like terms: 1 + -1 = 0 12 + 6x = 0 + 2x 12 + 6x = 2x Solving 12 + 6x = 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 + 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = 0 Add '-12' to each side of the equation. 12 + -12 + 4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 0 + -12 4x = 0 + -12 Combine like terms: 0 + -12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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