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Simplifying 3(2x + -5) = 7x + -13 Reorder the terms: 3(-5 + 2x) = 7x + -13 (-5 * 3 + 2x * 3) = 7x + -13 (-15 + 6x) = 7x + -13 Reorder the terms: -15 + 6x = -13 + 7x Solving -15 + 6x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 6x + -7x = -13 + 7x + -7x Combine like terms: 6x + -7x = -1x -15 + -1x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -1x = -13 + 0 -15 + -1x = -13 Add '15' to each side of the equation. -15 + 15 + -1x = -13 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -13 + 15 -1x = -13 + 15 Combine like terms: -13 + 15 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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