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Simplifying (0.10x) + (0.25[29 + -1x]) = 5.30 (0.10x) + ([29 * 0.25 + -1x * 0.25]) = 5.30 (0.10x) + ([7.25 + -0.25x]) = 5.30 (0.10x) + (7.25 + -0.25x) = 5.30 Remove parenthesis around (7.25 + -0.25x) (0.10x) + 7.25 + -0.25x = 5.30 Reorder the terms: 7.25 + (0.10x) + -0.25x = 5.30 Combine like terms: (0.10x) + -0.25x = -0.15x 7.25 + -0.15x = 5.30 Solving 7.25 + -0.15x = 5.30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.25' to each side of the equation. 7.25 + -7.25 + -0.15x = 5.30 + -7.25 Combine like terms: 7.25 + -7.25 = 0.00 0.00 + -0.15x = 5.30 + -7.25 -0.15x = 5.30 + -7.25 Combine like terms: 5.30 + -7.25 = -1.95 -0.15x = -1.95 Divide each side by '-0.15'. x = 13 Simplifying x = 13
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