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Simplifying 2(5x + -3) = 3(2x + 2) Reorder the terms: 2(-3 + 5x) = 3(2x + 2) (-3 * 2 + 5x * 2) = 3(2x + 2) (-6 + 10x) = 3(2x + 2) Reorder the terms: -6 + 10x = 3(2 + 2x) -6 + 10x = (2 * 3 + 2x * 3) -6 + 10x = (6 + 6x) Solving -6 + 10x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 10x + -6x = 6 + 6x + -6x Combine like terms: 10x + -6x = 4x -6 + 4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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