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Simplifying 150 = 2(x) + 2(x + -12) Reorder the terms: 150 = 2x + 2(-12 + x) 150 = 2x + (-12 * 2 + x * 2) 150 = 2x + (-24 + 2x) Reorder the terms: 150 = -24 + 2x + 2x Combine like terms: 2x + 2x = 4x 150 = -24 + 4x Solving 150 = -24 + 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. 150 + -4x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 150 + -4x = -24 + 0 150 + -4x = -24 Add '-150' to each side of the equation. 150 + -150 + -4x = -24 + -150 Combine like terms: 150 + -150 = 0 0 + -4x = -24 + -150 -4x = -24 + -150 Combine like terms: -24 + -150 = -174 -4x = -174 Divide each side by '-4'. x = 43.5 Simplifying x = 43.5
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