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Simplifying 3x + 2 = 2(x + -4) + 6 Reorder the terms: 2 + 3x = 2(x + -4) + 6 Reorder the terms: 2 + 3x = 2(-4 + x) + 6 2 + 3x = (-4 * 2 + x * 2) + 6 2 + 3x = (-8 + 2x) + 6 Reorder the terms: 2 + 3x = -8 + 6 + 2x Combine like terms: -8 + 6 = -2 2 + 3x = -2 + 2x Solving 2 + 3x = -2 + 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 = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -2 + 0 2 + 1x = -2 Add '-2' to each side of the equation. 2 + -2 + 1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -2 + -2 1x = -2 + -2 Combine like terms: -2 + -2 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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