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Simplifying 0.6x + -0.1 = 0.5 + -0.4(6 + -3x) Reorder the terms: -0.1 + 0.6x = 0.5 + -0.4(6 + -3x) -0.1 + 0.6x = 0.5 + (6 * -0.4 + -3x * -0.4) -0.1 + 0.6x = 0.5 + (-2.4 + 1.2x) Combine like terms: 0.5 + -2.4 = -1.9 -0.1 + 0.6x = -1.9 + 1.2x Solving -0.1 + 0.6x = -1.9 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -0.1 + 0.6x + -1.2x = -1.9 + 1.2x + -1.2x Combine like terms: 0.6x + -1.2x = -0.6x -0.1 + -0.6x = -1.9 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -0.1 + -0.6x = -1.9 + 0.0 -0.1 + -0.6x = -1.9 Add '0.1' to each side of the equation. -0.1 + 0.1 + -0.6x = -1.9 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + -0.6x = -1.9 + 0.1 -0.6x = -1.9 + 0.1 Combine like terms: -1.9 + 0.1 = -1.8 -0.6x = -1.8 Divide each side by '-0.6'. x = 3 Simplifying x = 3
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