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Simplifying 5(2x + -3) = 7x + -15 Reorder the terms: 5(-3 + 2x) = 7x + -15 (-3 * 5 + 2x * 5) = 7x + -15 (-15 + 10x) = 7x + -15 Reorder the terms: -15 + 10x = -15 + 7x Add '15' to each side of the equation. -15 + 15 + 10x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 0 + 10x = -15 + 15 + 7x 10x = -15 + 15 + 7x Combine like terms: -15 + 15 = 0 10x = 0 + 7x 10x = 7x Solving 10x = 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. 10x + -7x = 7x + -7x Combine like terms: 10x + -7x = 3x 3x = 7x + -7x Combine like terms: 7x + -7x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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