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Simplifying 0.16(x + 8) = x + 0.5 Reorder the terms: 0.16(8 + x) = x + 0.5 (8 * 0.16 + x * 0.16) = x + 0.5 (1.28 + 0.16x) = x + 0.5 Reorder the terms: 1.28 + 0.16x = 0.5 + x Solving 1.28 + 0.16x = 0.5 + x 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. 1.28 + 0.16x + -1x = 0.5 + x + -1x Combine like terms: 0.16x + -1x = -0.84x 1.28 + -0.84x = 0.5 + x + -1x Combine like terms: x + -1x = 0 1.28 + -0.84x = 0.5 + 0 1.28 + -0.84x = 0.5 Add '-1.28' to each side of the equation. 1.28 + -1.28 + -0.84x = 0.5 + -1.28 Combine like terms: 1.28 + -1.28 = 0.00 0.00 + -0.84x = 0.5 + -1.28 -0.84x = 0.5 + -1.28 Combine like terms: 0.5 + -1.28 = -0.78 -0.84x = -0.78 Divide each side by '-0.84'. x = 0.9285714286 Simplifying x = 0.9285714286
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