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Simplifying 7x + 2 = 2(x + -8) + 3x + 4 Reorder the terms: 2 + 7x = 2(x + -8) + 3x + 4 Reorder the terms: 2 + 7x = 2(-8 + x) + 3x + 4 2 + 7x = (-8 * 2 + x * 2) + 3x + 4 2 + 7x = (-16 + 2x) + 3x + 4 Reorder the terms: 2 + 7x = -16 + 4 + 2x + 3x Combine like terms: -16 + 4 = -12 2 + 7x = -12 + 2x + 3x Combine like terms: 2x + 3x = 5x 2 + 7x = -12 + 5x Solving 2 + 7x = -12 + 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. 2 + 7x + -5x = -12 + 5x + -5x Combine like terms: 7x + -5x = 2x 2 + 2x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 2x = -12 + 0 2 + 2x = -12 Add '-2' to each side of the equation. 2 + -2 + 2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -12 + -2 2x = -12 + -2 Combine like terms: -12 + -2 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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