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Simplifying 6(x + -5) = 3(5x + -13) Reorder the terms: 6(-5 + x) = 3(5x + -13) (-5 * 6 + x * 6) = 3(5x + -13) (-30 + 6x) = 3(5x + -13) Reorder the terms: -30 + 6x = 3(-13 + 5x) -30 + 6x = (-13 * 3 + 5x * 3) -30 + 6x = (-39 + 15x) Solving -30 + 6x = -39 + 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. -30 + 6x + -15x = -39 + 15x + -15x Combine like terms: 6x + -15x = -9x -30 + -9x = -39 + 15x + -15x Combine like terms: 15x + -15x = 0 -30 + -9x = -39 + 0 -30 + -9x = -39 Add '30' to each side of the equation. -30 + 30 + -9x = -39 + 30 Combine like terms: -30 + 30 = 0 0 + -9x = -39 + 30 -9x = -39 + 30 Combine like terms: -39 + 30 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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