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Simplifying 9(x + -4) = 8(2x + 3) Reorder the terms: 9(-4 + x) = 8(2x + 3) (-4 * 9 + x * 9) = 8(2x + 3) (-36 + 9x) = 8(2x + 3) Reorder the terms: -36 + 9x = 8(3 + 2x) -36 + 9x = (3 * 8 + 2x * 8) -36 + 9x = (24 + 16x) Solving -36 + 9x = 24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -36 + 9x + -16x = 24 + 16x + -16x Combine like terms: 9x + -16x = -7x -36 + -7x = 24 + 16x + -16x Combine like terms: 16x + -16x = 0 -36 + -7x = 24 + 0 -36 + -7x = 24 Add '36' to each side of the equation. -36 + 36 + -7x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -7x = 24 + 36 -7x = 24 + 36 Combine like terms: 24 + 36 = 60 -7x = 60 Divide each side by '-7'. x = -8.571428571 Simplifying x = -8.571428571
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