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Simplifying 0.25x + 0.8 = -0.4(x + -1) Reorder the terms: 0.8 + 0.25x = -0.4(x + -1) Reorder the terms: 0.8 + 0.25x = -0.4(-1 + x) 0.8 + 0.25x = (-1 * -0.4 + x * -0.4) 0.8 + 0.25x = (0.4 + -0.4x) Solving 0.8 + 0.25x = 0.4 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. 0.8 + 0.25x + 0.4x = 0.4 + -0.4x + 0.4x Combine like terms: 0.25x + 0.4x = 0.65x 0.8 + 0.65x = 0.4 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 0.8 + 0.65x = 0.4 + 0.0 0.8 + 0.65x = 0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.65x = 0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.65x = 0.4 + -0.8 0.65x = 0.4 + -0.8 Combine like terms: 0.4 + -0.8 = -0.4 0.65x = -0.4 Divide each side by '0.65'. x = -0.6153846154 Simplifying x = -0.6153846154
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