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Simplifying -2.4(3x + 6) = 0.8(x + 3.5) Reorder the terms: -2.4(6 + 3x) = 0.8(x + 3.5) (6 * -2.4 + 3x * -2.4) = 0.8(x + 3.5) (-14.4 + -7.2x) = 0.8(x + 3.5) Reorder the terms: -14.4 + -7.2x = 0.8(3.5 + x) -14.4 + -7.2x = (3.5 * 0.8 + x * 0.8) -14.4 + -7.2x = (2.8 + 0.8x) Solving -14.4 + -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. -14.4 + -7.2x + -0.8x = 2.8 + 0.8x + -0.8x Combine like terms: -7.2x + -0.8x = -8x -14.4 + -8x = 2.8 + 0.8x + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 -14.4 + -8x = 2.8 + 0.0 -14.4 + -8x = 2.8 Add '14.4' to each side of the equation. -14.4 + 14.4 + -8x = 2.8 + 14.4 Combine like terms: -14.4 + 14.4 = 0.0 0.0 + -8x = 2.8 + 14.4 -8x = 2.8 + 14.4 Combine like terms: 2.8 + 14.4 = 17.2 -8x = 17.2 Divide each side by '-8'. x = -2.15 Simplifying x = -2.15
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