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Simplifying 3x + 4 = 5(x + -2) + 2 Reorder the terms: 4 + 3x = 5(x + -2) + 2 Reorder the terms: 4 + 3x = 5(-2 + x) + 2 4 + 3x = (-2 * 5 + x * 5) + 2 4 + 3x = (-10 + 5x) + 2 Reorder the terms: 4 + 3x = -10 + 2 + 5x Combine like terms: -10 + 2 = -8 4 + 3x = -8 + 5x Solving 4 + 3x = -8 + 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. 4 + 3x + -5x = -8 + 5x + -5x Combine like terms: 3x + -5x = -2x 4 + -2x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -2x = -8 + 0 4 + -2x = -8 Add '-4' to each side of the equation. 4 + -4 + -2x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = -8 + -4 -2x = -8 + -4 Combine like terms: -8 + -4 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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