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Simplifying 3(2x + -15) = 5(4x + 3) + -30x Reorder the terms: 3(-15 + 2x) = 5(4x + 3) + -30x (-15 * 3 + 2x * 3) = 5(4x + 3) + -30x (-45 + 6x) = 5(4x + 3) + -30x Reorder the terms: -45 + 6x = 5(3 + 4x) + -30x -45 + 6x = (3 * 5 + 4x * 5) + -30x -45 + 6x = (15 + 20x) + -30x Combine like terms: 20x + -30x = -10x -45 + 6x = 15 + -10x Solving -45 + 6x = 15 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -45 + 6x + 10x = 15 + -10x + 10x Combine like terms: 6x + 10x = 16x -45 + 16x = 15 + -10x + 10x Combine like terms: -10x + 10x = 0 -45 + 16x = 15 + 0 -45 + 16x = 15 Add '45' to each side of the equation. -45 + 45 + 16x = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 16x = 15 + 45 16x = 15 + 45 Combine like terms: 15 + 45 = 60 16x = 60 Divide each side by '16'. x = 3.75 Simplifying x = 3.75
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