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Simplifying 0.4 = -3.6x + -1(-4x + 1) Reorder the terms: 0.4 = -3.6x + -1(1 + -4x) 0.4 = -3.6x + (1 * -1 + -4x * -1) 0.4 = -3.6x + (-1 + 4x) Reorder the terms: 0.4 = -1 + -3.6x + 4x Combine like terms: -3.6x + 4x = 0.4x 0.4 = -1 + 0.4x Solving 0.4 = -1 + 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. 0.4 + -0.4x = -1 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.4 + -0.4x = -1 + 0.0 0.4 + -0.4x = -1 Add '-0.4' to each side of the equation. 0.4 + -0.4 + -0.4x = -1 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + -0.4x = -1 + -0.4 -0.4x = -1 + -0.4 Combine like terms: -1 + -0.4 = -1.4 -0.4x = -1.4 Divide each side by '-0.4'. x = 3.5 Simplifying x = 3.5
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