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Simplifying 5(2x + -3) = 7x + 3 Reorder the terms: 5(-3 + 2x) = 7x + 3 (-3 * 5 + 2x * 5) = 7x + 3 (-15 + 10x) = 7x + 3 Reorder the terms: -15 + 10x = 3 + 7x Solving -15 + 10x = 3 + 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 + 10x + -7x = 3 + 7x + -7x Combine like terms: 10x + -7x = 3x -15 + 3x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 3x = 3 + 0 -15 + 3x = 3 Add '15' to each side of the equation. -15 + 15 + 3x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 3x = 3 + 15 3x = 3 + 15 Combine like terms: 3 + 15 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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