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Simplifying 0.57(2.6x + 0.5) = -2(0.143 + -0.18x) Reorder the terms: 0.57(0.5 + 2.6x) = -2(0.143 + -0.18x) (0.5 * 0.57 + 2.6x * 0.57) = -2(0.143 + -0.18x) (0.285 + 1.482x) = -2(0.143 + -0.18x) 0.285 + 1.482x = (0.143 * -2 + -0.18x * -2) 0.285 + 1.482x = (-0.286 + 0.36x) Solving 0.285 + 1.482x = -0.286 + 0.36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.36x' to each side of the equation. 0.285 + 1.482x + -0.36x = -0.286 + 0.36x + -0.36x Combine like terms: 1.482x + -0.36x = 1.122x 0.285 + 1.122x = -0.286 + 0.36x + -0.36x Combine like terms: 0.36x + -0.36x = 0.00 0.285 + 1.122x = -0.286 + 0.00 0.285 + 1.122x = -0.286 Add '-0.285' to each side of the equation. 0.285 + -0.285 + 1.122x = -0.286 + -0.285 Combine like terms: 0.285 + -0.285 = 0.000 0.000 + 1.122x = -0.286 + -0.285 1.122x = -0.286 + -0.285 Combine like terms: -0.286 + -0.285 = -0.571 1.122x = -0.571 Divide each side by '1.122'. x = -0.508912656 Simplifying x = -0.508912656
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