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Simplifying 6(x + 13) = 18(x + -13) Reorder the terms: 6(13 + x) = 18(x + -13) (13 * 6 + x * 6) = 18(x + -13) (78 + 6x) = 18(x + -13) Reorder the terms: 78 + 6x = 18(-13 + x) 78 + 6x = (-13 * 18 + x * 18) 78 + 6x = (-234 + 18x) Solving 78 + 6x = -234 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 78 + 6x + -18x = -234 + 18x + -18x Combine like terms: 6x + -18x = -12x 78 + -12x = -234 + 18x + -18x Combine like terms: 18x + -18x = 0 78 + -12x = -234 + 0 78 + -12x = -234 Add '-78' to each side of the equation. 78 + -78 + -12x = -234 + -78 Combine like terms: 78 + -78 = 0 0 + -12x = -234 + -78 -12x = -234 + -78 Combine like terms: -234 + -78 = -312 -12x = -312 Divide each side by '-12'. x = 26 Simplifying x = 26
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