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Simplifying 1.6(x + 5) + -1(6.2 + 0.6x) = -3 + 2 Reorder the terms: 1.6(5 + x) + -1(6.2 + 0.6x) = -3 + 2 (5 * 1.6 + x * 1.6) + -1(6.2 + 0.6x) = -3 + 2 (8 + 1.6x) + -1(6.2 + 0.6x) = -3 + 2 8 + 1.6x + (6.2 * -1 + 0.6x * -1) = -3 + 2 8 + 1.6x + (-6.2 + -0.6x) = -3 + 2 Reorder the terms: 8 + -6.2 + 1.6x + -0.6x = -3 + 2 Combine like terms: 8 + -6.2 = 1.8 1.8 + 1.6x + -0.6x = -3 + 2 Combine like terms: 1.6x + -0.6x = 1x 1.8 + 1x = -3 + 2 Combine like terms: -3 + 2 = -1 1.8 + 1x = -1 Solving 1.8 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + 1x = -1 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 1x = -1 + -1.8 1x = -1 + -1.8 Combine like terms: -1 + -1.8 = -2.8 1x = -2.8 Divide each side by '1'. x = -2.8 Simplifying x = -2.8
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