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Simplifying 10 + 0.1x = (8 + 0.25x) * 4 Reorder the terms for easier multiplication: 10 + 0.1x = 4(8 + 0.25x) 10 + 0.1x = (8 * 4 + 0.25x * 4) 10 + 0.1x = (32 + 1x) Solving 10 + 0.1x = 32 + 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. 10 + 0.1x + -1x = 32 + 1x + -1x Combine like terms: 0.1x + -1x = -0.9x 10 + -0.9x = 32 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -0.9x = 32 + 0 10 + -0.9x = 32 Add '-10' to each side of the equation. 10 + -10 + -0.9x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + -0.9x = 32 + -10 -0.9x = 32 + -10 Combine like terms: 32 + -10 = 22 -0.9x = 22 Divide each side by '-0.9'. x = -24.44444444 Simplifying x = -24.44444444
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