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Simplifying 3(8x + 6) + -5x = 4(x + 7) Reorder the terms: 3(6 + 8x) + -5x = 4(x + 7) (6 * 3 + 8x * 3) + -5x = 4(x + 7) (18 + 24x) + -5x = 4(x + 7) Combine like terms: 24x + -5x = 19x 18 + 19x = 4(x + 7) Reorder the terms: 18 + 19x = 4(7 + x) 18 + 19x = (7 * 4 + x * 4) 18 + 19x = (28 + 4x) Solving 18 + 19x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + 19x + -4x = 28 + 4x + -4x Combine like terms: 19x + -4x = 15x 18 + 15x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + 15x = 28 + 0 18 + 15x = 28 Add '-18' to each side of the equation. 18 + -18 + 15x = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 15x = 28 + -18 15x = 28 + -18 Combine like terms: 28 + -18 = 10 15x = 10 Divide each side by '15'. x = 0.6666666667 Simplifying x = 0.6666666667
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