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Simplifying 6x + -10 + x + 4 = -2(x + 7) + x Reorder the terms: -10 + 4 + 6x + x = -2(x + 7) + x Combine like terms: -10 + 4 = -6 -6 + 6x + x = -2(x + 7) + x Combine like terms: 6x + x = 7x -6 + 7x = -2(x + 7) + x Reorder the terms: -6 + 7x = -2(7 + x) + x -6 + 7x = (7 * -2 + x * -2) + x -6 + 7x = (-14 + -2x) + x Combine like terms: -2x + x = -1x -6 + 7x = -14 + -1x Solving -6 + 7x = -14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 7x + x = -14 + -1x + x Combine like terms: 7x + x = 8x -6 + 8x = -14 + -1x + x Combine like terms: -1x + x = 0 -6 + 8x = -14 + 0 -6 + 8x = -14 Add '6' to each side of the equation. -6 + 6 + 8x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = -14 + 6 8x = -14 + 6 Combine like terms: -14 + 6 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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