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Simplifying 10(10x + 4) + 3(5x + -3) = 9x + 40 Reorder the terms: 10(4 + 10x) + 3(5x + -3) = 9x + 40 (4 * 10 + 10x * 10) + 3(5x + -3) = 9x + 40 (40 + 100x) + 3(5x + -3) = 9x + 40 Reorder the terms: 40 + 100x + 3(-3 + 5x) = 9x + 40 40 + 100x + (-3 * 3 + 5x * 3) = 9x + 40 40 + 100x + (-9 + 15x) = 9x + 40 Reorder the terms: 40 + -9 + 100x + 15x = 9x + 40 Combine like terms: 40 + -9 = 31 31 + 100x + 15x = 9x + 40 Combine like terms: 100x + 15x = 115x 31 + 115x = 9x + 40 Reorder the terms: 31 + 115x = 40 + 9x Solving 31 + 115x = 40 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 31 + 115x + -9x = 40 + 9x + -9x Combine like terms: 115x + -9x = 106x 31 + 106x = 40 + 9x + -9x Combine like terms: 9x + -9x = 0 31 + 106x = 40 + 0 31 + 106x = 40 Add '-31' to each side of the equation. 31 + -31 + 106x = 40 + -31 Combine like terms: 31 + -31 = 0 0 + 106x = 40 + -31 106x = 40 + -31 Combine like terms: 40 + -31 = 9 106x = 9 Divide each side by '106'. x = 0.08490566038 Simplifying x = 0.08490566038
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