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Simplifying ((x * 0.15)(0.2) + (x * 0.15)) + 78 = x Reorder the terms for easier multiplication: ((0.15x)(0.2) + (x * 0.15)) + 78 = x Remove parenthesis around (0.15x) (0.15x(0.2) + (x * 0.15)) + 78 = x Reorder the terms for easier multiplication: (0.15 * 0.2x + (x * 0.15)) + 78 = x Multiply 0.15 * 0.2 (0.03x + (x * 0.15)) + 78 = x Reorder the terms for easier multiplication: (0.03x + (0.15x)) + 78 = x Combine like terms: 0.03x + (0.15x) = 0.18x (0.18x) + 78 = x (0.18x) + 78 = x Reorder the terms: 78 + (0.18x) = x Solving 78 + (0.18x) = 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. 78 + (0.18x) + -1x = x + -1x Combine like terms: (0.18x) + -1x = -0.82x 78 + -0.82x = x + -1x Combine like terms: x + -1x = 0 78 + -0.82x = 0 Add '-78' to each side of the equation. 78 + -78 + -0.82x = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -0.82x = 0 + -78 -0.82x = 0 + -78 Combine like terms: 0 + -78 = -78 -0.82x = -78 Divide each side by '-0.82'. x = 95.12195122 Simplifying x = 95.12195122
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