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Simplifying 78 = 13x + 2(x + -6) Reorder the terms: 78 = 13x + 2(-6 + x) 78 = 13x + (-6 * 2 + x * 2) 78 = 13x + (-12 + 2x) Reorder the terms: 78 = -12 + 13x + 2x Combine like terms: 13x + 2x = 15x 78 = -12 + 15x Solving 78 = -12 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 78 + -15x = -12 + 15x + -15x Combine like terms: 15x + -15x = 0 78 + -15x = -12 + 0 78 + -15x = -12 Add '-78' to each side of the equation. 78 + -78 + -15x = -12 + -78 Combine like terms: 78 + -78 = 0 0 + -15x = -12 + -78 -15x = -12 + -78 Combine like terms: -12 + -78 = -90 -15x = -90 Divide each side by '-15'. x = 6 Simplifying x = 6
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