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Simplifying (3.1x + 3.1) + -1(1.8x + 1.8) = 1.6x + 1.6 Reorder the terms: (3.1 + 3.1x) + -1(1.8x + 1.8) = 1.6x + 1.6 Remove parenthesis around (3.1 + 3.1x) 3.1 + 3.1x + -1(1.8x + 1.8) = 1.6x + 1.6 Reorder the terms: 3.1 + 3.1x + -1(1.8 + 1.8x) = 1.6x + 1.6 3.1 + 3.1x + (1.8 * -1 + 1.8x * -1) = 1.6x + 1.6 3.1 + 3.1x + (-1.8 + -1.8x) = 1.6x + 1.6 Reorder the terms: 3.1 + -1.8 + 3.1x + -1.8x = 1.6x + 1.6 Combine like terms: 3.1 + -1.8 = 1.3 1.3 + 3.1x + -1.8x = 1.6x + 1.6 Combine like terms: 3.1x + -1.8x = 1.3x 1.3 + 1.3x = 1.6x + 1.6 Reorder the terms: 1.3 + 1.3x = 1.6 + 1.6x Solving 1.3 + 1.3x = 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. 1.3 + 1.3x + -1.6x = 1.6 + 1.6x + -1.6x Combine like terms: 1.3x + -1.6x = -0.3x 1.3 + -0.3x = 1.6 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 1.3 + -0.3x = 1.6 + 0.0 1.3 + -0.3x = 1.6 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -0.3x = 1.6 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -0.3x = 1.6 + -1.3 -0.3x = 1.6 + -1.3 Combine like terms: 1.6 + -1.3 = 0.3 -0.3x = 0.3 Divide each side by '-0.3'. x = -1 Simplifying x = -1
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