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Simplifying 4x + -2(x + 7) = 4x + 6 Reorder the terms: 4x + -2(7 + x) = 4x + 6 4x + (7 * -2 + x * -2) = 4x + 6 4x + (-14 + -2x) = 4x + 6 Reorder the terms: -14 + 4x + -2x = 4x + 6 Combine like terms: 4x + -2x = 2x -14 + 2x = 4x + 6 Reorder the terms: -14 + 2x = 6 + 4x Solving -14 + 2x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + 2x + -4x = 6 + 4x + -4x Combine like terms: 2x + -4x = -2x -14 + -2x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -2x = 6 + 0 -14 + -2x = 6 Add '14' to each side of the equation. -14 + 14 + -2x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = 6 + 14 -2x = 6 + 14 Combine like terms: 6 + 14 = 20 -2x = 20 Divide each side by '-2'. x = -10 Simplifying x = -10
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