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Simplifying 12(x + 4) = 6(5x + -13) Reorder the terms: 12(4 + x) = 6(5x + -13) (4 * 12 + x * 12) = 6(5x + -13) (48 + 12x) = 6(5x + -13) Reorder the terms: 48 + 12x = 6(-13 + 5x) 48 + 12x = (-13 * 6 + 5x * 6) 48 + 12x = (-78 + 30x) Solving 48 + 12x = -78 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 48 + 12x + -30x = -78 + 30x + -30x Combine like terms: 12x + -30x = -18x 48 + -18x = -78 + 30x + -30x Combine like terms: 30x + -30x = 0 48 + -18x = -78 + 0 48 + -18x = -78 Add '-48' to each side of the equation. 48 + -48 + -18x = -78 + -48 Combine like terms: 48 + -48 = 0 0 + -18x = -78 + -48 -18x = -78 + -48 Combine like terms: -78 + -48 = -126 -18x = -126 Divide each side by '-18'. x = 7 Simplifying x = 7
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