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Simplifying 3(2x + -5) = 4(3 + -3x) Reorder the terms: 3(-5 + 2x) = 4(3 + -3x) (-5 * 3 + 2x * 3) = 4(3 + -3x) (-15 + 6x) = 4(3 + -3x) -15 + 6x = (3 * 4 + -3x * 4) -15 + 6x = (12 + -12x) Solving -15 + 6x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -15 + 6x + 12x = 12 + -12x + 12x Combine like terms: 6x + 12x = 18x -15 + 18x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -15 + 18x = 12 + 0 -15 + 18x = 12 Add '15' to each side of the equation. -15 + 15 + 18x = 12 + 15 Combine like terms: -15 + 15 = 0 0 + 18x = 12 + 15 18x = 12 + 15 Combine like terms: 12 + 15 = 27 18x = 27 Divide each side by '18'. x = 1.5 Simplifying x = 1.5
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