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Simplifying 5(3x + -6) = 6(x + 13) Reorder the terms: 5(-6 + 3x) = 6(x + 13) (-6 * 5 + 3x * 5) = 6(x + 13) (-30 + 15x) = 6(x + 13) Reorder the terms: -30 + 15x = 6(13 + x) -30 + 15x = (13 * 6 + x * 6) -30 + 15x = (78 + 6x) Solving -30 + 15x = 78 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 15x + -6x = 78 + 6x + -6x Combine like terms: 15x + -6x = 9x -30 + 9x = 78 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 9x = 78 + 0 -30 + 9x = 78 Add '30' to each side of the equation. -30 + 30 + 9x = 78 + 30 Combine like terms: -30 + 30 = 0 0 + 9x = 78 + 30 9x = 78 + 30 Combine like terms: 78 + 30 = 108 9x = 108 Divide each side by '9'. x = 12 Simplifying x = 12
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