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Simplifying 5x + 6(x + -13) = 5(x + -12) Reorder the terms: 5x + 6(-13 + x) = 5(x + -12) 5x + (-13 * 6 + x * 6) = 5(x + -12) 5x + (-78 + 6x) = 5(x + -12) Reorder the terms: -78 + 5x + 6x = 5(x + -12) Combine like terms: 5x + 6x = 11x -78 + 11x = 5(x + -12) Reorder the terms: -78 + 11x = 5(-12 + x) -78 + 11x = (-12 * 5 + x * 5) -78 + 11x = (-60 + 5x) Solving -78 + 11x = -60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -78 + 11x + -5x = -60 + 5x + -5x Combine like terms: 11x + -5x = 6x -78 + 6x = -60 + 5x + -5x Combine like terms: 5x + -5x = 0 -78 + 6x = -60 + 0 -78 + 6x = -60 Add '78' to each side of the equation. -78 + 78 + 6x = -60 + 78 Combine like terms: -78 + 78 = 0 0 + 6x = -60 + 78 6x = -60 + 78 Combine like terms: -60 + 78 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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