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Simplifying 15x + 2(3x + -4) + 8 = 7x + -1(5 + -1x) + -6 Reorder the terms: 15x + 2(-4 + 3x) + 8 = 7x + -1(5 + -1x) + -6 15x + (-4 * 2 + 3x * 2) + 8 = 7x + -1(5 + -1x) + -6 15x + (-8 + 6x) + 8 = 7x + -1(5 + -1x) + -6 Reorder the terms: -8 + 8 + 15x + 6x = 7x + -1(5 + -1x) + -6 Combine like terms: -8 + 8 = 0 0 + 15x + 6x = 7x + -1(5 + -1x) + -6 15x + 6x = 7x + -1(5 + -1x) + -6 Combine like terms: 15x + 6x = 21x 21x = 7x + -1(5 + -1x) + -6 21x = 7x + (5 * -1 + -1x * -1) + -6 21x = 7x + (-5 + 1x) + -6 Reorder the terms: 21x = -5 + -6 + 7x + 1x Combine like terms: -5 + -6 = -11 21x = -11 + 7x + 1x Combine like terms: 7x + 1x = 8x 21x = -11 + 8x Solving 21x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 21x + -8x = -11 + 8x + -8x Combine like terms: 21x + -8x = 13x 13x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 13x = -11 + 0 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462
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