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Simplifying 67 = 5x + 2(4x + -12) Reorder the terms: 67 = 5x + 2(-12 + 4x) 67 = 5x + (-12 * 2 + 4x * 2) 67 = 5x + (-24 + 8x) Reorder the terms: 67 = -24 + 5x + 8x Combine like terms: 5x + 8x = 13x 67 = -24 + 13x Solving 67 = -24 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 67 + -13x = -24 + 13x + -13x Combine like terms: 13x + -13x = 0 67 + -13x = -24 + 0 67 + -13x = -24 Add '-67' to each side of the equation. 67 + -67 + -13x = -24 + -67 Combine like terms: 67 + -67 = 0 0 + -13x = -24 + -67 -13x = -24 + -67 Combine like terms: -24 + -67 = -91 -13x = -91 Divide each side by '-13'. x = 7 Simplifying x = 7
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