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Simplifying 10(2x + -3) = 3(4x + 2) Reorder the terms: 10(-3 + 2x) = 3(4x + 2) (-3 * 10 + 2x * 10) = 3(4x + 2) (-30 + 20x) = 3(4x + 2) Reorder the terms: -30 + 20x = 3(2 + 4x) -30 + 20x = (2 * 3 + 4x * 3) -30 + 20x = (6 + 12x) Solving -30 + 20x = 6 + 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. -30 + 20x + -12x = 6 + 12x + -12x Combine like terms: 20x + -12x = 8x -30 + 8x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -30 + 8x = 6 + 0 -30 + 8x = 6 Add '30' to each side of the equation. -30 + 30 + 8x = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 8x = 6 + 30 8x = 6 + 30 Combine like terms: 6 + 30 = 36 8x = 36 Divide each side by '8'. x = 4.5 Simplifying x = 4.5
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