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Simplifying 5(2x + -3) + -7x = 2x + -15 Reorder the terms: 5(-3 + 2x) + -7x = 2x + -15 (-3 * 5 + 2x * 5) + -7x = 2x + -15 (-15 + 10x) + -7x = 2x + -15 Combine like terms: 10x + -7x = 3x -15 + 3x = 2x + -15 Reorder the terms: -15 + 3x = -15 + 2x Add '15' to each side of the equation. -15 + 15 + 3x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 0 + 3x = -15 + 15 + 2x 3x = -15 + 15 + 2x Combine like terms: -15 + 15 = 0 3x = 0 + 2x 3x = 2x Solving 3x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3x + -2x = 2x + -2x Combine like terms: 3x + -2x = 1x 1x = 2x + -2x Combine like terms: 2x + -2x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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