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Simplifying 5(2x + -3) = 2(3x + 2) Reorder the terms: 5(-3 + 2x) = 2(3x + 2) (-3 * 5 + 2x * 5) = 2(3x + 2) (-15 + 10x) = 2(3x + 2) Reorder the terms: -15 + 10x = 2(2 + 3x) -15 + 10x = (2 * 2 + 3x * 2) -15 + 10x = (4 + 6x) Solving -15 + 10x = 4 + 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. -15 + 10x + -6x = 4 + 6x + -6x Combine like terms: 10x + -6x = 4x -15 + 4x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 4x = 4 + 0 -15 + 4x = 4 Add '15' to each side of the equation. -15 + 15 + 4x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 4 + 15 4x = 4 + 15 Combine like terms: 4 + 15 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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