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Simplifying 5(2x + -6) = 7x + -3 Reorder the terms: 5(-6 + 2x) = 7x + -3 (-6 * 5 + 2x * 5) = 7x + -3 (-30 + 10x) = 7x + -3 Reorder the terms: -30 + 10x = -3 + 7x Solving -30 + 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. -30 + 10x + -7x = -3 + 7x + -7x Combine like terms: 10x + -7x = 3x -30 + 3x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -30 + 3x = -3 + 0 -30 + 3x = -3 Add '30' to each side of the equation. -30 + 30 + 3x = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = -3 + 30 3x = -3 + 30 Combine like terms: -3 + 30 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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