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Simplifying 0.6x + 0.5(3 + -8x) = 0.16 + -4x 0.6x + (3 * 0.5 + -8x * 0.5) = 0.16 + -4x 0.6x + (1.5 + -4x) = 0.16 + -4x Reorder the terms: 1.5 + 0.6x + -4x = 0.16 + -4x Combine like terms: 0.6x + -4x = -3.4x 1.5 + -3.4x = 0.16 + -4x Solving 1.5 + -3.4x = 0.16 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1.5 + -3.4x + 4x = 0.16 + -4x + 4x Combine like terms: -3.4x + 4x = 0.6x 1.5 + 0.6x = 0.16 + -4x + 4x Combine like terms: -4x + 4x = 0 1.5 + 0.6x = 0.16 + 0 1.5 + 0.6x = 0.16 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.6x = 0.16 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.6x = 0.16 + -1.5 0.6x = 0.16 + -1.5 Combine like terms: 0.16 + -1.5 = -1.34 0.6x = -1.34 Divide each side by '0.6'. x = -2.233333333 Simplifying x = -2.233333333
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