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Simplifying 2x + 12 = 6 + -4(x + -3) Reorder the terms: 12 + 2x = 6 + -4(x + -3) Reorder the terms: 12 + 2x = 6 + -4(-3 + x) 12 + 2x = 6 + (-3 * -4 + x * -4) 12 + 2x = 6 + (12 + -4x) Combine like terms: 6 + 12 = 18 12 + 2x = 18 + -4x Solving 12 + 2x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 12 + 2x + 4x = 18 + -4x + 4x Combine like terms: 2x + 4x = 6x 12 + 6x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 12 + 6x = 18 + 0 12 + 6x = 18 Add '-12' to each side of the equation. 12 + -12 + 6x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 18 + -12 6x = 18 + -12 Combine like terms: 18 + -12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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