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Simplifying 0.4(4 + -6x) = 6 + -1(2x + 1) (4 * 0.4 + -6x * 0.4) = 6 + -1(2x + 1) (1.6 + -2.4x) = 6 + -1(2x + 1) Reorder the terms: 1.6 + -2.4x = 6 + -1(1 + 2x) 1.6 + -2.4x = 6 + (1 * -1 + 2x * -1) 1.6 + -2.4x = 6 + (-1 + -2x) Combine like terms: 6 + -1 = 5 1.6 + -2.4x = 5 + -2x Solving 1.6 + -2.4x = 5 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1.6 + -2.4x + 2x = 5 + -2x + 2x Combine like terms: -2.4x + 2x = -0.4x 1.6 + -0.4x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 1.6 + -0.4x = 5 + 0 1.6 + -0.4x = 5 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -0.4x = 5 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -0.4x = 5 + -1.6 -0.4x = 5 + -1.6 Combine like terms: 5 + -1.6 = 3.4 -0.4x = 3.4 Divide each side by '-0.4'. x = -8.5 Simplifying x = -8.5
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