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Simplifying -1(2.5x + -2.5) + -1(3.1x + -3.1) = -1(1.6 + -1.6x) Reorder the terms: -1(-2.5 + 2.5x) + -1(3.1x + -3.1) = -1(1.6 + -1.6x) (-2.5 * -1 + 2.5x * -1) + -1(3.1x + -3.1) = -1(1.6 + -1.6x) (2.5 + -2.5x) + -1(3.1x + -3.1) = -1(1.6 + -1.6x) Reorder the terms: 2.5 + -2.5x + -1(-3.1 + 3.1x) = -1(1.6 + -1.6x) 2.5 + -2.5x + (-3.1 * -1 + 3.1x * -1) = -1(1.6 + -1.6x) 2.5 + -2.5x + (3.1 + -3.1x) = -1(1.6 + -1.6x) Reorder the terms: 2.5 + 3.1 + -2.5x + -3.1x = -1(1.6 + -1.6x) Combine like terms: 2.5 + 3.1 = 5.6 5.6 + -2.5x + -3.1x = -1(1.6 + -1.6x) Combine like terms: -2.5x + -3.1x = -5.6x 5.6 + -5.6x = -1(1.6 + -1.6x) 5.6 + -5.6x = (1.6 * -1 + -1.6x * -1) 5.6 + -5.6x = (-1.6 + 1.6x) Solving 5.6 + -5.6x = -1.6 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 5.6 + -5.6x + -1.6x = -1.6 + 1.6x + -1.6x Combine like terms: -5.6x + -1.6x = -7.2x 5.6 + -7.2x = -1.6 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 5.6 + -7.2x = -1.6 + 0.0 5.6 + -7.2x = -1.6 Add '-5.6' to each side of the equation. 5.6 + -5.6 + -7.2x = -1.6 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + -7.2x = -1.6 + -5.6 -7.2x = -1.6 + -5.6 Combine like terms: -1.6 + -5.6 = -7.2 -7.2x = -7.2 Divide each side by '-7.2'. x = 1 Simplifying x = 1
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