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Simplifying x + -1(4x + 2) = 7 + (2x + 6) Reorder the terms: x + -1(2 + 4x) = 7 + (2x + 6) x + (2 * -1 + 4x * -1) = 7 + (2x + 6) x + (-2 + -4x) = 7 + (2x + 6) Reorder the terms: -2 + x + -4x = 7 + (2x + 6) Combine like terms: x + -4x = -3x -2 + -3x = 7 + (2x + 6) Reorder the terms: -2 + -3x = 7 + (6 + 2x) Remove parenthesis around (6 + 2x) -2 + -3x = 7 + 6 + 2x Combine like terms: 7 + 6 = 13 -2 + -3x = 13 + 2x Solving -2 + -3x = 13 + 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 = 13 + 2x + -2x Combine like terms: -3x + -2x = -5x -2 + -5x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -5x = 13 + 0 -2 + -5x = 13 Add '2' to each side of the equation. -2 + 2 + -5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 13 + 2 -5x = 13 + 2 Combine like terms: 13 + 2 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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