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Simplifying 3x + 2(4) + -2 = 5(x + -2) Multiply 2 * 4 3x + 8 + -2 = 5(x + -2) Reorder the terms: 8 + -2 + 3x = 5(x + -2) Combine like terms: 8 + -2 = 6 6 + 3x = 5(x + -2) Reorder the terms: 6 + 3x = 5(-2 + x) 6 + 3x = (-2 * 5 + x * 5) 6 + 3x = (-10 + 5x) Solving 6 + 3x = -10 + 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. 6 + 3x + -5x = -10 + 5x + -5x Combine like terms: 3x + -5x = -2x 6 + -2x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -2x = -10 + 0 6 + -2x = -10 Add '-6' to each side of the equation. 6 + -6 + -2x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -10 + -6 -2x = -10 + -6 Combine like terms: -10 + -6 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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