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Simplifying 6(8 + -6x + -3x) + 5(7x + 3) = 6 Combine like terms: -6x + -3x = -9x 6(8 + -9x) + 5(7x + 3) = 6 (8 * 6 + -9x * 6) + 5(7x + 3) = 6 (48 + -54x) + 5(7x + 3) = 6 Reorder the terms: 48 + -54x + 5(3 + 7x) = 6 48 + -54x + (3 * 5 + 7x * 5) = 6 48 + -54x + (15 + 35x) = 6 Reorder the terms: 48 + 15 + -54x + 35x = 6 Combine like terms: 48 + 15 = 63 63 + -54x + 35x = 6 Combine like terms: -54x + 35x = -19x 63 + -19x = 6 Solving 63 + -19x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -19x = 6 + -63 Combine like terms: 63 + -63 = 0 0 + -19x = 6 + -63 -19x = 6 + -63 Combine like terms: 6 + -63 = -57 -19x = -57 Divide each side by '-19'. x = 3 Simplifying x = 3
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