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Simplifying 2x + 2(x + -7) = 6 + -4(x + -1) Reorder the terms: 2x + 2(-7 + x) = 6 + -4(x + -1) 2x + (-7 * 2 + x * 2) = 6 + -4(x + -1) 2x + (-14 + 2x) = 6 + -4(x + -1) Reorder the terms: -14 + 2x + 2x = 6 + -4(x + -1) Combine like terms: 2x + 2x = 4x -14 + 4x = 6 + -4(x + -1) Reorder the terms: -14 + 4x = 6 + -4(-1 + x) -14 + 4x = 6 + (-1 * -4 + x * -4) -14 + 4x = 6 + (4 + -4x) Combine like terms: 6 + 4 = 10 -14 + 4x = 10 + -4x Solving -14 + 4x = 10 + -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 + 4x + 4x = 10 + -4x + 4x Combine like terms: 4x + 4x = 8x -14 + 8x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -14 + 8x = 10 + 0 -14 + 8x = 10 Add '14' to each side of the equation. -14 + 14 + 8x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 10 + 14 8x = 10 + 14 Combine like terms: 10 + 14 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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