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Simplifying -3(5x + -6) = 4 + 2(3x + -2) Reorder the terms: -3(-6 + 5x) = 4 + 2(3x + -2) (-6 * -3 + 5x * -3) = 4 + 2(3x + -2) (18 + -15x) = 4 + 2(3x + -2) Reorder the terms: 18 + -15x = 4 + 2(-2 + 3x) 18 + -15x = 4 + (-2 * 2 + 3x * 2) 18 + -15x = 4 + (-4 + 6x) Combine like terms: 4 + -4 = 0 18 + -15x = 0 + 6x 18 + -15x = 6x Solving 18 + -15x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 18 + -15x + -6x = 6x + -6x Combine like terms: -15x + -6x = -21x 18 + -21x = 6x + -6x Combine like terms: 6x + -6x = 0 18 + -21x = 0 Add '-18' to each side of the equation. 18 + -18 + -21x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = 0 + -18 -21x = 0 + -18 Combine like terms: 0 + -18 = -18 -21x = -18 Divide each side by '-21'. x = 0.8571428571 Simplifying x = 0.8571428571
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