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Simplifying 7x + -1(8x + 6) = x + -7 Reorder the terms: 7x + -1(6 + 8x) = x + -7 7x + (6 * -1 + 8x * -1) = x + -7 7x + (-6 + -8x) = x + -7 Reorder the terms: -6 + 7x + -8x = x + -7 Combine like terms: 7x + -8x = -1x -6 + -1x = x + -7 Reorder the terms: -6 + -1x = -7 + x Solving -6 + -1x = -7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + -1x + -1x = -7 + x + -1x Combine like terms: -1x + -1x = -2x -6 + -2x = -7 + x + -1x Combine like terms: x + -1x = 0 -6 + -2x = -7 + 0 -6 + -2x = -7 Add '6' to each side of the equation. -6 + 6 + -2x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -7 + 6 -2x = -7 + 6 Combine like terms: -7 + 6 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5
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