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Simplifying 6(3 + -2x) + 5x = 3(4x + -1) (3 * 6 + -2x * 6) + 5x = 3(4x + -1) (18 + -12x) + 5x = 3(4x + -1) Combine like terms: -12x + 5x = -7x 18 + -7x = 3(4x + -1) Reorder the terms: 18 + -7x = 3(-1 + 4x) 18 + -7x = (-1 * 3 + 4x * 3) 18 + -7x = (-3 + 12x) Solving 18 + -7x = -3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -7x + -12x = -3 + 12x + -12x Combine like terms: -7x + -12x = -19x 18 + -19x = -3 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -19x = -3 + 0 18 + -19x = -3 Add '-18' to each side of the equation. 18 + -18 + -19x = -3 + -18 Combine like terms: 18 + -18 = 0 0 + -19x = -3 + -18 -19x = -3 + -18 Combine like terms: -3 + -18 = -21 -19x = -21 Divide each side by '-19'. x = 1.105263158 Simplifying x = 1.105263158
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