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Simplifying 8 + 6(x + -3) = 2 + -7(x + -6) Reorder the terms: 8 + 6(-3 + x) = 2 + -7(x + -6) 8 + (-3 * 6 + x * 6) = 2 + -7(x + -6) 8 + (-18 + 6x) = 2 + -7(x + -6) Combine like terms: 8 + -18 = -10 -10 + 6x = 2 + -7(x + -6) Reorder the terms: -10 + 6x = 2 + -7(-6 + x) -10 + 6x = 2 + (-6 * -7 + x * -7) -10 + 6x = 2 + (42 + -7x) Combine like terms: 2 + 42 = 44 -10 + 6x = 44 + -7x Solving -10 + 6x = 44 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -10 + 6x + 7x = 44 + -7x + 7x Combine like terms: 6x + 7x = 13x -10 + 13x = 44 + -7x + 7x Combine like terms: -7x + 7x = 0 -10 + 13x = 44 + 0 -10 + 13x = 44 Add '10' to each side of the equation. -10 + 10 + 13x = 44 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 44 + 10 13x = 44 + 10 Combine like terms: 44 + 10 = 54 13x = 54 Divide each side by '13'. x = 4.153846154 Simplifying x = 4.153846154
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