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Simplifying 6x + -3(2 + -5x) + 8 = 8(x + -3) 6x + (2 * -3 + -5x * -3) + 8 = 8(x + -3) 6x + (-6 + 15x) + 8 = 8(x + -3) Reorder the terms: -6 + 8 + 6x + 15x = 8(x + -3) Combine like terms: -6 + 8 = 2 2 + 6x + 15x = 8(x + -3) Combine like terms: 6x + 15x = 21x 2 + 21x = 8(x + -3) Reorder the terms: 2 + 21x = 8(-3 + x) 2 + 21x = (-3 * 8 + x * 8) 2 + 21x = (-24 + 8x) Solving 2 + 21x = -24 + 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. 2 + 21x + -8x = -24 + 8x + -8x Combine like terms: 21x + -8x = 13x 2 + 13x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + 13x = -24 + 0 2 + 13x = -24 Add '-2' to each side of the equation. 2 + -2 + 13x = -24 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = -24 + -2 13x = -24 + -2 Combine like terms: -24 + -2 = -26 13x = -26 Divide each side by '13'. x = -2 Simplifying x = -2
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