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Simplifying -24(3x + 5) = 8(x + 3.5) Reorder the terms: -24(5 + 3x) = 8(x + 3.5) (5 * -24 + 3x * -24) = 8(x + 3.5) (-120 + -72x) = 8(x + 3.5) Reorder the terms: -120 + -72x = 8(3.5 + x) -120 + -72x = (3.5 * 8 + x * 8) -120 + -72x = (28 + 8x) Solving -120 + -72x = 28 + 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. -120 + -72x + -8x = 28 + 8x + -8x Combine like terms: -72x + -8x = -80x -120 + -80x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -120 + -80x = 28 + 0 -120 + -80x = 28 Add '120' to each side of the equation. -120 + 120 + -80x = 28 + 120 Combine like terms: -120 + 120 = 0 0 + -80x = 28 + 120 -80x = 28 + 120 Combine like terms: 28 + 120 = 148 -80x = 148 Divide each side by '-80'. x = -1.85 Simplifying x = -1.85
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