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Simplifying 4(2x + -1) = x + -2(x + 7) Reorder the terms: 4(-1 + 2x) = x + -2(x + 7) (-1 * 4 + 2x * 4) = x + -2(x + 7) (-4 + 8x) = x + -2(x + 7) Reorder the terms: -4 + 8x = x + -2(7 + x) -4 + 8x = x + (7 * -2 + x * -2) -4 + 8x = x + (-14 + -2x) Reorder the terms: -4 + 8x = -14 + x + -2x Combine like terms: x + -2x = -1x -4 + 8x = -14 + -1x Solving -4 + 8x = -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. -4 + 8x + x = -14 + -1x + x Combine like terms: 8x + x = 9x -4 + 9x = -14 + -1x + x Combine like terms: -1x + x = 0 -4 + 9x = -14 + 0 -4 + 9x = -14 Add '4' to each side of the equation. -4 + 4 + 9x = -14 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = -14 + 4 9x = -14 + 4 Combine like terms: -14 + 4 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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