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Simplifying 3x + 2 = 2(x + -4) + 7 Reorder the terms: 2 + 3x = 2(x + -4) + 7 Reorder the terms: 2 + 3x = 2(-4 + x) + 7 2 + 3x = (-4 * 2 + x * 2) + 7 2 + 3x = (-8 + 2x) + 7 Reorder the terms: 2 + 3x = -8 + 7 + 2x Combine like terms: -8 + 7 = -1 2 + 3x = -1 + 2x Solving 2 + 3x = -1 + 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 = -1 + 2x + -2x Combine like terms: 3x + -2x = 1x 2 + 1x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 1x = -1 + 0 2 + 1x = -1 Add '-2' to each side of the equation. 2 + -2 + 1x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -1 + -2 1x = -1 + -2 Combine like terms: -1 + -2 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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