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Simplifying 5(2x + -6) = -3x + 13 Reorder the terms: 5(-6 + 2x) = -3x + 13 (-6 * 5 + 2x * 5) = -3x + 13 (-30 + 10x) = -3x + 13 Reorder the terms: -30 + 10x = 13 + -3x Solving -30 + 10x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -30 + 10x + 3x = 13 + -3x + 3x Combine like terms: 10x + 3x = 13x -30 + 13x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -30 + 13x = 13 + 0 -30 + 13x = 13 Add '30' to each side of the equation. -30 + 30 + 13x = 13 + 30 Combine like terms: -30 + 30 = 0 0 + 13x = 13 + 30 13x = 13 + 30 Combine like terms: 13 + 30 = 43 13x = 43 Divide each side by '13'. x = 3.307692308 Simplifying x = 3.307692308
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