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Simplifying 6 + 2(x + -5) = 9 + -6(x + -3) Reorder the terms: 6 + 2(-5 + x) = 9 + -6(x + -3) 6 + (-5 * 2 + x * 2) = 9 + -6(x + -3) 6 + (-10 + 2x) = 9 + -6(x + -3) Combine like terms: 6 + -10 = -4 -4 + 2x = 9 + -6(x + -3) Reorder the terms: -4 + 2x = 9 + -6(-3 + x) -4 + 2x = 9 + (-3 * -6 + x * -6) -4 + 2x = 9 + (18 + -6x) Combine like terms: 9 + 18 = 27 -4 + 2x = 27 + -6x Solving -4 + 2x = 27 + -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. -4 + 2x + 6x = 27 + -6x + 6x Combine like terms: 2x + 6x = 8x -4 + 8x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -4 + 8x = 27 + 0 -4 + 8x = 27 Add '4' to each side of the equation. -4 + 4 + 8x = 27 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 27 + 4 8x = 27 + 4 Combine like terms: 27 + 4 = 31 8x = 31 Divide each side by '8'. x = 3.875 Simplifying x = 3.875
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