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Simplifying 6(x + -3) + -9 = 8(x + -4) Reorder the terms: 6(-3 + x) + -9 = 8(x + -4) (-3 * 6 + x * 6) + -9 = 8(x + -4) (-18 + 6x) + -9 = 8(x + -4) Reorder the terms: -18 + -9 + 6x = 8(x + -4) Combine like terms: -18 + -9 = -27 -27 + 6x = 8(x + -4) Reorder the terms: -27 + 6x = 8(-4 + x) -27 + 6x = (-4 * 8 + x * 8) -27 + 6x = (-32 + 8x) Solving -27 + 6x = -32 + 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. -27 + 6x + -8x = -32 + 8x + -8x Combine like terms: 6x + -8x = -2x -27 + -2x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -2x = -32 + 0 -27 + -2x = -32 Add '27' to each side of the equation. -27 + 27 + -2x = -32 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -32 + 27 -2x = -32 + 27 Combine like terms: -32 + 27 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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