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Simplifying 3x + 2 = 2 + 5(x + -4) Reorder the terms: 2 + 3x = 2 + 5(x + -4) Reorder the terms: 2 + 3x = 2 + 5(-4 + x) 2 + 3x = 2 + (-4 * 5 + x * 5) 2 + 3x = 2 + (-20 + 5x) Combine like terms: 2 + -20 = -18 2 + 3x = -18 + 5x Solving 2 + 3x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2 + 3x + -5x = -18 + 5x + -5x Combine like terms: 3x + -5x = -2x 2 + -2x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -2x = -18 + 0 2 + -2x = -18 Add '-2' to each side of the equation. 2 + -2 + -2x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -18 + -2 -2x = -18 + -2 Combine like terms: -18 + -2 = -20 -2x = -20 Divide each side by '-2'. x = 10 Simplifying x = 10
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