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Simplifying 8 + -5(2(x) + 1) = 2 + -6(x + -3) Reorder the terms: 8 + -5(1 + 2x) = 2 + -6(x + -3) 8 + (1 * -5 + 2x * -5) = 2 + -6(x + -3) 8 + (-5 + -10x) = 2 + -6(x + -3) Combine like terms: 8 + -5 = 3 3 + -10x = 2 + -6(x + -3) Reorder the terms: 3 + -10x = 2 + -6(-3 + x) 3 + -10x = 2 + (-3 * -6 + x * -6) 3 + -10x = 2 + (18 + -6x) Combine like terms: 2 + 18 = 20 3 + -10x = 20 + -6x Solving 3 + -10x = 20 + -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. 3 + -10x + 6x = 20 + -6x + 6x Combine like terms: -10x + 6x = -4x 3 + -4x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -4x = 20 + 0 3 + -4x = 20 Add '-3' to each side of the equation. 3 + -3 + -4x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 20 + -3 -4x = 20 + -3 Combine like terms: 20 + -3 = 17 -4x = 17 Divide each side by '-4'. x = -4.25 Simplifying x = -4.25
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