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Simplifying 3(2x + -5) = 2(4x + 3) Reorder the terms: 3(-5 + 2x) = 2(4x + 3) (-5 * 3 + 2x * 3) = 2(4x + 3) (-15 + 6x) = 2(4x + 3) Reorder the terms: -15 + 6x = 2(3 + 4x) -15 + 6x = (3 * 2 + 4x * 2) -15 + 6x = (6 + 8x) Solving -15 + 6x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 6x + -8x = 6 + 8x + -8x Combine like terms: 6x + -8x = -2x -15 + -2x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -2x = 6 + 0 -15 + -2x = 6 Add '15' to each side of the equation. -15 + 15 + -2x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 6 + 15 -2x = 6 + 15 Combine like terms: 6 + 15 = 21 -2x = 21 Divide each side by '-2'. x = -10.5 Simplifying x = -10.5
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