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Simplifying 4(5x + -3) = 3(4x + -3) Reorder the terms: 4(-3 + 5x) = 3(4x + -3) (-3 * 4 + 5x * 4) = 3(4x + -3) (-12 + 20x) = 3(4x + -3) Reorder the terms: -12 + 20x = 3(-3 + 4x) -12 + 20x = (-3 * 3 + 4x * 3) -12 + 20x = (-9 + 12x) Solving -12 + 20x = -9 + 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. -12 + 20x + -12x = -9 + 12x + -12x Combine like terms: 20x + -12x = 8x -12 + 8x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 8x = -9 + 0 -12 + 8x = -9 Add '12' to each side of the equation. -12 + 12 + 8x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = -9 + 12 8x = -9 + 12 Combine like terms: -9 + 12 = 3 8x = 3 Divide each side by '8'. x = 0.375 Simplifying x = 0.375
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