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Simplifying -1.6(x + 3) = 2.4(x + -5.5) + 2.8 Reorder the terms: -1.6(3 + x) = 2.4(x + -5.5) + 2.8 (3 * -1.6 + x * -1.6) = 2.4(x + -5.5) + 2.8 (-4.8 + -1.6x) = 2.4(x + -5.5) + 2.8 Reorder the terms: -4.8 + -1.6x = 2.4(-5.5 + x) + 2.8 -4.8 + -1.6x = (-5.5 * 2.4 + x * 2.4) + 2.8 -4.8 + -1.6x = (-13.2 + 2.4x) + 2.8 Reorder the terms: -4.8 + -1.6x = -13.2 + 2.8 + 2.4x Combine like terms: -13.2 + 2.8 = -10.4 -4.8 + -1.6x = -10.4 + 2.4x Solving -4.8 + -1.6x = -10.4 + 2.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4x' to each side of the equation. -4.8 + -1.6x + -2.4x = -10.4 + 2.4x + -2.4x Combine like terms: -1.6x + -2.4x = -4x -4.8 + -4x = -10.4 + 2.4x + -2.4x Combine like terms: 2.4x + -2.4x = 0.0 -4.8 + -4x = -10.4 + 0.0 -4.8 + -4x = -10.4 Add '4.8' to each side of the equation. -4.8 + 4.8 + -4x = -10.4 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + -4x = -10.4 + 4.8 -4x = -10.4 + 4.8 Combine like terms: -10.4 + 4.8 = -5.6 -4x = -5.6 Divide each side by '-4'. x = 1.4 Simplifying x = 1.4
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