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Simplifying 2x + 6 = 6 + -2(x + -12) Reorder the terms: 6 + 2x = 6 + -2(x + -12) Reorder the terms: 6 + 2x = 6 + -2(-12 + x) 6 + 2x = 6 + (-12 * -2 + x * -2) 6 + 2x = 6 + (24 + -2x) Combine like terms: 6 + 24 = 30 6 + 2x = 30 + -2x Solving 6 + 2x = 30 + -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. 6 + 2x + 2x = 30 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = 30 + 0 6 + 4x = 30 Add '-6' to each side of the equation. 6 + -6 + 4x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 30 + -6 4x = 30 + -6 Combine like terms: 30 + -6 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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