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Simplifying -5(3x + 4) = 6(8x + -9) Reorder the terms: -5(4 + 3x) = 6(8x + -9) (4 * -5 + 3x * -5) = 6(8x + -9) (-20 + -15x) = 6(8x + -9) Reorder the terms: -20 + -15x = 6(-9 + 8x) -20 + -15x = (-9 * 6 + 8x * 6) -20 + -15x = (-54 + 48x) Solving -20 + -15x = -54 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. -20 + -15x + -48x = -54 + 48x + -48x Combine like terms: -15x + -48x = -63x -20 + -63x = -54 + 48x + -48x Combine like terms: 48x + -48x = 0 -20 + -63x = -54 + 0 -20 + -63x = -54 Add '20' to each side of the equation. -20 + 20 + -63x = -54 + 20 Combine like terms: -20 + 20 = 0 0 + -63x = -54 + 20 -63x = -54 + 20 Combine like terms: -54 + 20 = -34 -63x = -34 Divide each side by '-63'. x = 0.5396825397 Simplifying x = 0.5396825397
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