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Simplifying 3(5x + 6) + -4x = 8 + -2(-3x + 5) Reorder the terms: 3(6 + 5x) + -4x = 8 + -2(-3x + 5) (6 * 3 + 5x * 3) + -4x = 8 + -2(-3x + 5) (18 + 15x) + -4x = 8 + -2(-3x + 5) Combine like terms: 15x + -4x = 11x 18 + 11x = 8 + -2(-3x + 5) Reorder the terms: 18 + 11x = 8 + -2(5 + -3x) 18 + 11x = 8 + (5 * -2 + -3x * -2) 18 + 11x = 8 + (-10 + 6x) Combine like terms: 8 + -10 = -2 18 + 11x = -2 + 6x Solving 18 + 11x = -2 + 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 + 11x + -6x = -2 + 6x + -6x Combine like terms: 11x + -6x = 5x 18 + 5x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 18 + 5x = -2 + 0 18 + 5x = -2 Add '-18' to each side of the equation. 18 + -18 + 5x = -2 + -18 Combine like terms: 18 + -18 = 0 0 + 5x = -2 + -18 5x = -2 + -18 Combine like terms: -2 + -18 = -20 5x = -20 Divide each side by '5'. x = -4 Simplifying x = -4
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