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Simplifying 5(4x + -3) = 10 + 12x Reorder the terms: 5(-3 + 4x) = 10 + 12x (-3 * 5 + 4x * 5) = 10 + 12x (-15 + 20x) = 10 + 12x Solving -15 + 20x = 10 + 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 + 20x + -12x = 10 + 12x + -12x Combine like terms: 20x + -12x = 8x -15 + 8x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 -15 + 8x = 10 + 0 -15 + 8x = 10 Add '15' to each side of the equation. -15 + 15 + 8x = 10 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = 10 + 15 8x = 10 + 15 Combine like terms: 10 + 15 = 25 8x = 25 Divide each side by '8'. x = 3.125 Simplifying x = 3.125
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