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Simplifying 4(3x + -1) = 8(x + 9) Reorder the terms: 4(-1 + 3x) = 8(x + 9) (-1 * 4 + 3x * 4) = 8(x + 9) (-4 + 12x) = 8(x + 9) Reorder the terms: -4 + 12x = 8(9 + x) -4 + 12x = (9 * 8 + x * 8) -4 + 12x = (72 + 8x) Solving -4 + 12x = 72 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 12x + -8x = 72 + 8x + -8x Combine like terms: 12x + -8x = 4x -4 + 4x = 72 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 4x = 72 + 0 -4 + 4x = 72 Add '4' to each side of the equation. -4 + 4 + 4x = 72 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 72 + 4 4x = 72 + 4 Combine like terms: 72 + 4 = 76 4x = 76 Divide each side by '4'. x = 19 Simplifying x = 19
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