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Simplifying 0.86(x + 3) = 0.6x + 0.5 Reorder the terms: 0.86(3 + x) = 0.6x + 0.5 (3 * 0.86 + x * 0.86) = 0.6x + 0.5 (2.58 + 0.86x) = 0.6x + 0.5 Reorder the terms: 2.58 + 0.86x = 0.5 + 0.6x Solving 2.58 + 0.86x = 0.5 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 2.58 + 0.86x + -0.6x = 0.5 + 0.6x + -0.6x Combine like terms: 0.86x + -0.6x = 0.26x 2.58 + 0.26x = 0.5 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 2.58 + 0.26x = 0.5 + 0.0 2.58 + 0.26x = 0.5 Add '-2.58' to each side of the equation. 2.58 + -2.58 + 0.26x = 0.5 + -2.58 Combine like terms: 2.58 + -2.58 = 0.00 0.00 + 0.26x = 0.5 + -2.58 0.26x = 0.5 + -2.58 Combine like terms: 0.5 + -2.58 = -2.08 0.26x = -2.08 Divide each side by '0.26'. x = -8 Simplifying x = -8
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