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Simplifying 0.4x + -0.1 = 0.5 + -0.5(6 + -2x) Reorder the terms: -0.1 + 0.4x = 0.5 + -0.5(6 + -2x) -0.1 + 0.4x = 0.5 + (6 * -0.5 + -2x * -0.5) -0.1 + 0.4x = 0.5 + (-3 + 1x) Combine like terms: 0.5 + -3 = -2.5 -0.1 + 0.4x = -2.5 + 1x Solving -0.1 + 0.4x = -2.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -0.1 + 0.4x + -1x = -2.5 + 1x + -1x Combine like terms: 0.4x + -1x = -0.6x -0.1 + -0.6x = -2.5 + 1x + -1x Combine like terms: 1x + -1x = 0 -0.1 + -0.6x = -2.5 + 0 -0.1 + -0.6x = -2.5 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.6x = -2.5 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.6x = -2.5 + 0.1 -0.6x = -2.5 + 0.1 Combine like terms: -2.5 + 0.1 = -2.4 -0.6x = -2.4 Divide each side by '-0.6'. x = 4 Simplifying x = 4
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