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Simplifying 8 + 3(x + -6) = 5 + -2(x + -2) Reorder the terms: 8 + 3(-6 + x) = 5 + -2(x + -2) 8 + (-6 * 3 + x * 3) = 5 + -2(x + -2) 8 + (-18 + 3x) = 5 + -2(x + -2) Combine like terms: 8 + -18 = -10 -10 + 3x = 5 + -2(x + -2) Reorder the terms: -10 + 3x = 5 + -2(-2 + x) -10 + 3x = 5 + (-2 * -2 + x * -2) -10 + 3x = 5 + (4 + -2x) Combine like terms: 5 + 4 = 9 -10 + 3x = 9 + -2x Solving -10 + 3x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 3x + 2x = 9 + -2x + 2x Combine like terms: 3x + 2x = 5x -10 + 5x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 5x = 9 + 0 -10 + 5x = 9 Add '10' to each side of the equation. -10 + 10 + 5x = 9 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 9 + 10 5x = 9 + 10 Combine like terms: 9 + 10 = 19 5x = 19 Divide each side by '5'. x = 3.8 Simplifying x = 3.8
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