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Simplifying 3x + -10 = 8 + 6(x + 2) Reorder the terms: -10 + 3x = 8 + 6(x + 2) Reorder the terms: -10 + 3x = 8 + 6(2 + x) -10 + 3x = 8 + (2 * 6 + x * 6) -10 + 3x = 8 + (12 + 6x) Combine like terms: 8 + 12 = 20 -10 + 3x = 20 + 6x Solving -10 + 3x = 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. -10 + 3x + -6x = 20 + 6x + -6x Combine like terms: 3x + -6x = -3x -10 + -3x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -3x = 20 + 0 -10 + -3x = 20 Add '10' to each side of the equation. -10 + 10 + -3x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 20 + 10 -3x = 20 + 10 Combine like terms: 20 + 10 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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