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Simplifying -14 + 3(x + 10) = 7(7x + 4) + x Reorder the terms: -14 + 3(10 + x) = 7(7x + 4) + x -14 + (10 * 3 + x * 3) = 7(7x + 4) + x -14 + (30 + 3x) = 7(7x + 4) + x Combine like terms: -14 + 30 = 16 16 + 3x = 7(7x + 4) + x Reorder the terms: 16 + 3x = 7(4 + 7x) + x 16 + 3x = (4 * 7 + 7x * 7) + x 16 + 3x = (28 + 49x) + x Combine like terms: 49x + x = 50x 16 + 3x = 28 + 50x Solving 16 + 3x = 28 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. 16 + 3x + -50x = 28 + 50x + -50x Combine like terms: 3x + -50x = -47x 16 + -47x = 28 + 50x + -50x Combine like terms: 50x + -50x = 0 16 + -47x = 28 + 0 16 + -47x = 28 Add '-16' to each side of the equation. 16 + -16 + -47x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -47x = 28 + -16 -47x = 28 + -16 Combine like terms: 28 + -16 = 12 -47x = 12 Divide each side by '-47'. x = -0.2553191489 Simplifying x = -0.2553191489
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