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Simplifying 15(3x + 10) = 4(x + 1) + 3x Reorder the terms: 15(10 + 3x) = 4(x + 1) + 3x (10 * 15 + 3x * 15) = 4(x + 1) + 3x (150 + 45x) = 4(x + 1) + 3x Reorder the terms: 150 + 45x = 4(1 + x) + 3x 150 + 45x = (1 * 4 + x * 4) + 3x 150 + 45x = (4 + 4x) + 3x Combine like terms: 4x + 3x = 7x 150 + 45x = 4 + 7x Solving 150 + 45x = 4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 150 + 45x + -7x = 4 + 7x + -7x Combine like terms: 45x + -7x = 38x 150 + 38x = 4 + 7x + -7x Combine like terms: 7x + -7x = 0 150 + 38x = 4 + 0 150 + 38x = 4 Add '-150' to each side of the equation. 150 + -150 + 38x = 4 + -150 Combine like terms: 150 + -150 = 0 0 + 38x = 4 + -150 38x = 4 + -150 Combine like terms: 4 + -150 = -146 38x = -146 Divide each side by '38'. x = -3.842105263 Simplifying x = -3.842105263
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