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Simplifying 0.35(x + 4) = 0.25(x + -6) Reorder the terms: 0.35(4 + x) = 0.25(x + -6) (4 * 0.35 + x * 0.35) = 0.25(x + -6) (1.4 + 0.35x) = 0.25(x + -6) Reorder the terms: 1.4 + 0.35x = 0.25(-6 + x) 1.4 + 0.35x = (-6 * 0.25 + x * 0.25) 1.4 + 0.35x = (-1.5 + 0.25x) Solving 1.4 + 0.35x = -1.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1.4 + 0.35x + -0.25x = -1.5 + 0.25x + -0.25x Combine like terms: 0.35x + -0.25x = 0.1x 1.4 + 0.1x = -1.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1.4 + 0.1x = -1.5 + 0.00 1.4 + 0.1x = -1.5 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.1x = -1.5 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.1x = -1.5 + -1.4 0.1x = -1.5 + -1.4 Combine like terms: -1.5 + -1.4 = -2.9 0.1x = -2.9 Divide each side by '0.1'. x = -29 Simplifying x = -29
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