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Simplifying 0.2(2.8x + -3.5) = 0.7(4.8 + -1.8) Reorder the terms: 0.2(-3.5 + 2.8x) = 0.7(4.8 + -1.8) (-3.5 * 0.2 + 2.8x * 0.2) = 0.7(4.8 + -1.8) (-0.7 + 0.56x) = 0.7(4.8 + -1.8) Combine like terms: 4.8 + -1.8 = 3 -0.7 + 0.56x = 0.7(3) Multiply 0.7 * 3 -0.7 + 0.56x = 2.1 Solving -0.7 + 0.56x = 2.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7' to each side of the equation. -0.7 + 0.7 + 0.56x = 2.1 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 0.56x = 2.1 + 0.7 0.56x = 2.1 + 0.7 Combine like terms: 2.1 + 0.7 = 2.8 0.56x = 2.8 Divide each side by '0.56'. x = 5 Simplifying x = 5
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