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Simplifying 15(x + 2) + 2x = 6x + -10 Reorder the terms: 15(2 + x) + 2x = 6x + -10 (2 * 15 + x * 15) + 2x = 6x + -10 (30 + 15x) + 2x = 6x + -10 Combine like terms: 15x + 2x = 17x 30 + 17x = 6x + -10 Reorder the terms: 30 + 17x = -10 + 6x Solving 30 + 17x = -10 + 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. 30 + 17x + -6x = -10 + 6x + -6x Combine like terms: 17x + -6x = 11x 30 + 11x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + 11x = -10 + 0 30 + 11x = -10 Add '-30' to each side of the equation. 30 + -30 + 11x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 11x = -10 + -30 11x = -10 + -30 Combine like terms: -10 + -30 = -40 11x = -40 Divide each side by '11'. x = -3.636363636 Simplifying x = -3.636363636
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