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Simplifying 9(3x + -4) = 8(x + -3) + 8 Reorder the terms: 9(-4 + 3x) = 8(x + -3) + 8 (-4 * 9 + 3x * 9) = 8(x + -3) + 8 (-36 + 27x) = 8(x + -3) + 8 Reorder the terms: -36 + 27x = 8(-3 + x) + 8 -36 + 27x = (-3 * 8 + x * 8) + 8 -36 + 27x = (-24 + 8x) + 8 Reorder the terms: -36 + 27x = -24 + 8 + 8x Combine like terms: -24 + 8 = -16 -36 + 27x = -16 + 8x Solving -36 + 27x = -16 + 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. -36 + 27x + -8x = -16 + 8x + -8x Combine like terms: 27x + -8x = 19x -36 + 19x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -36 + 19x = -16 + 0 -36 + 19x = -16 Add '36' to each side of the equation. -36 + 36 + 19x = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 19x = -16 + 36 19x = -16 + 36 Combine like terms: -16 + 36 = 20 19x = 20 Divide each side by '19'. x = 1.052631579 Simplifying x = 1.052631579
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