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Simplifying 3x + 2 = 2(x + -5) + 4 Reorder the terms: 2 + 3x = 2(x + -5) + 4 Reorder the terms: 2 + 3x = 2(-5 + x) + 4 2 + 3x = (-5 * 2 + x * 2) + 4 2 + 3x = (-10 + 2x) + 4 Reorder the terms: 2 + 3x = -10 + 4 + 2x Combine like terms: -10 + 4 = -6 2 + 3x = -6 + 2x Solving 2 + 3x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2 + 3x + -2x = -6 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -6 + 0 2 + 1x = -6 Add '-2' to each side of the equation. 2 + -2 + 1x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -6 + -2 1x = -6 + -2 Combine like terms: -6 + -2 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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