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Simplifying 8x + 3(4x + -3) = 4(6x + 4) + -4 Reorder the terms: 8x + 3(-3 + 4x) = 4(6x + 4) + -4 8x + (-3 * 3 + 4x * 3) = 4(6x + 4) + -4 8x + (-9 + 12x) = 4(6x + 4) + -4 Reorder the terms: -9 + 8x + 12x = 4(6x + 4) + -4 Combine like terms: 8x + 12x = 20x -9 + 20x = 4(6x + 4) + -4 Reorder the terms: -9 + 20x = 4(4 + 6x) + -4 -9 + 20x = (4 * 4 + 6x * 4) + -4 -9 + 20x = (16 + 24x) + -4 Reorder the terms: -9 + 20x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -9 + 20x = 12 + 24x Solving -9 + 20x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -9 + 20x + -24x = 12 + 24x + -24x Combine like terms: 20x + -24x = -4x -9 + -4x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -9 + -4x = 12 + 0 -9 + -4x = 12 Add '9' to each side of the equation. -9 + 9 + -4x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -4x = 12 + 9 -4x = 12 + 9 Combine like terms: 12 + 9 = 21 -4x = 21 Divide each side by '-4'. x = -5.25 Simplifying x = -5.25
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