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Simplifying 3(2x + -5) = 7x + -15 Reorder the terms: 3(-5 + 2x) = 7x + -15 (-5 * 3 + 2x * 3) = 7x + -15 (-15 + 6x) = 7x + -15 Reorder the terms: -15 + 6x = -15 + 7x Add '15' to each side of the equation. -15 + 15 + 6x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 0 + 6x = -15 + 15 + 7x 6x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 6x = 0 + 7x 6x = 7x Solving 6x = 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. 6x + -7x = 7x + -7x Combine like terms: 6x + -7x = -1x -1x = 7x + -7x Combine like terms: 7x + -7x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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