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Simplifying 3x + 5 = 2(3x + -5) Reorder the terms: 5 + 3x = 2(3x + -5) Reorder the terms: 5 + 3x = 2(-5 + 3x) 5 + 3x = (-5 * 2 + 3x * 2) 5 + 3x = (-10 + 6x) Solving 5 + 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. 5 + 3x + -6x = -10 + 6x + -6x Combine like terms: 3x + -6x = -3x 5 + -3x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -3x = -10 + 0 5 + -3x = -10 Add '-5' to each side of the equation. 5 + -5 + -3x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -10 + -5 -3x = -10 + -5 Combine like terms: -10 + -5 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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