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Simplifying 7(x + -1) + 8x = -1(x + 7) + 11 Reorder the terms: 7(-1 + x) + 8x = -1(x + 7) + 11 (-1 * 7 + x * 7) + 8x = -1(x + 7) + 11 (-7 + 7x) + 8x = -1(x + 7) + 11 Combine like terms: 7x + 8x = 15x -7 + 15x = -1(x + 7) + 11 Reorder the terms: -7 + 15x = -1(7 + x) + 11 -7 + 15x = (7 * -1 + x * -1) + 11 -7 + 15x = (-7 + -1x) + 11 Reorder the terms: -7 + 15x = -7 + 11 + -1x Combine like terms: -7 + 11 = 4 -7 + 15x = 4 + -1x Solving -7 + 15x = 4 + -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. -7 + 15x + x = 4 + -1x + x Combine like terms: 15x + x = 16x -7 + 16x = 4 + -1x + x Combine like terms: -1x + x = 0 -7 + 16x = 4 + 0 -7 + 16x = 4 Add '7' to each side of the equation. -7 + 7 + 16x = 4 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 4 + 7 16x = 4 + 7 Combine like terms: 4 + 7 = 11 16x = 11 Divide each side by '16'. x = 0.6875 Simplifying x = 0.6875
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