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Simplifying 1.6(x + -2.8) = (0.2 + 1.5) + -0.7 Reorder the terms: 1.6(-2.8 + x) = (0.2 + 1.5) + -0.7 (-2.8 * 1.6 + x * 1.6) = (0.2 + 1.5) + -0.7 (-4.48 + 1.6x) = (0.2 + 1.5) + -0.7 Combine like terms: 0.2 + 1.5 = 1.7 -4.48 + 1.6x = (1.7) + -0.7 -4.48 + 1.6x = 1.7 + -0.7 Combine like terms: 1.7 + -0.7 = 1 -4.48 + 1.6x = 1 Solving -4.48 + 1.6x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.48' to each side of the equation. -4.48 + 4.48 + 1.6x = 1 + 4.48 Combine like terms: -4.48 + 4.48 = 0.00 0.00 + 1.6x = 1 + 4.48 1.6x = 1 + 4.48 Combine like terms: 1 + 4.48 = 5.48 1.6x = 5.48 Divide each side by '1.6'. x = 3.425 Simplifying x = 3.425
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