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Simplifying 12 + -2x = 3 + -3(2x + 1) Reorder the terms: 12 + -2x = 3 + -3(1 + 2x) 12 + -2x = 3 + (1 * -3 + 2x * -3) 12 + -2x = 3 + (-3 + -6x) Combine like terms: 3 + -3 = 0 12 + -2x = 0 + -6x 12 + -2x = -6x Solving 12 + -2x = -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 = -6x + 6x Combine like terms: -2x + 6x = 4x 12 + 4x = -6x + 6x Combine like terms: -6x + 6x = 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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