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Simplifying 2(x + -3) = 3(2x + 5) Reorder the terms: 2(-3 + x) = 3(2x + 5) (-3 * 2 + x * 2) = 3(2x + 5) (-6 + 2x) = 3(2x + 5) Reorder the terms: -6 + 2x = 3(5 + 2x) -6 + 2x = (5 * 3 + 2x * 3) -6 + 2x = (15 + 6x) Solving -6 + 2x = 15 + 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 + 2x + -6x = 15 + 6x + -6x Combine like terms: 2x + -6x = -4x -6 + -4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -4x = 15 + 0 -6 + -4x = 15 Add '6' to each side of the equation. -6 + 6 + -4x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = 15 + 6 -4x = 15 + 6 Combine like terms: 15 + 6 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25
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