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