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Simplifying -2.4(3x + 5) = 0.8(x + 3.5) Reorder the terms: -2.4(5 + 3x) = 0.8(x + 3.5) (5 * -2.4 + 3x * -2.4) = 0.8(x + 3.5) (-12 + -7.2x) = 0.8(x + 3.5) Reorder the terms: -12 + -7.2x = 0.8(3.5 + x) -12 + -7.2x = (3.5 * 0.8 + x * 0.8) -12 + -7.2x = (2.8 + 0.8x) Solving -12 + -7.2x = 2.8 + 0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8x' to each side of the equation. -12 + -7.2x + -0.8x = 2.8 + 0.8x + -0.8x Combine like terms: -7.2x + -0.8x = -8x -12 + -8x = 2.8 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -12 + -8x = 2.8 + 0.0 -12 + -8x = 2.8 Add '12' to each side of the equation. -12 + 12 + -8x = 2.8 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 2.8 + 12 -8x = 2.8 + 12 Combine like terms: 2.8 + 12 = 14.8 -8x = 14.8 Divide each side by '-8'. x = -1.85 Simplifying x = -1.85
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