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Simplifying (3.6x + 2.5) + -1(1.8x + 2.3) = 1.6x Reorder the terms: (2.5 + 3.6x) + -1(1.8x + 2.3) = 1.6x Remove parenthesis around (2.5 + 3.6x) 2.5 + 3.6x + -1(1.8x + 2.3) = 1.6x Reorder the terms: 2.5 + 3.6x + -1(2.3 + 1.8x) = 1.6x 2.5 + 3.6x + (2.3 * -1 + 1.8x * -1) = 1.6x 2.5 + 3.6x + (-2.3 + -1.8x) = 1.6x Reorder the terms: 2.5 + -2.3 + 3.6x + -1.8x = 1.6x Combine like terms: 2.5 + -2.3 = 0.2 0.2 + 3.6x + -1.8x = 1.6x Combine like terms: 3.6x + -1.8x = 1.8x 0.2 + 1.8x = 1.6x Solving 0.2 + 1.8x = 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. 0.2 + 1.8x + -1.6x = 1.6x + -1.6x Combine like terms: 1.8x + -1.6x = 0.2x 0.2 + 0.2x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 0.2 + 0.2x = 0.0 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.2x = 0.0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.2x = 0.0 + -0.2 0.2x = 0.0 + -0.2 Combine like terms: 0.0 + -0.2 = -0.2 0.2x = -0.2 Divide each side by '0.2'. x = -1 Simplifying x = -1
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