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Simplifying 7x + -8[2(x + 5) + -1(x + -5)] + -7 = 0 Reorder the terms: 7x + -8[2(5 + x) + -1(x + -5)] + -7 = 0 7x + -8[(5 * 2 + x * 2) + -1(x + -5)] + -7 = 0 7x + -8[(10 + 2x) + -1(x + -5)] + -7 = 0 Reorder the terms: 7x + -8[10 + 2x + -1(-5 + x)] + -7 = 0 7x + -8[10 + 2x + (-5 * -1 + x * -1)] + -7 = 0 7x + -8[10 + 2x + (5 + -1x)] + -7 = 0 Reorder the terms: 7x + -8[10 + 5 + 2x + -1x] + -7 = 0 Combine like terms: 10 + 5 = 15 7x + -8[15 + 2x + -1x] + -7 = 0 Combine like terms: 2x + -1x = 1x 7x + -8[15 + 1x] + -7 = 0 7x + [15 * -8 + 1x * -8] + -7 = 0 7x + [-120 + -8x] + -7 = 0 Reorder the terms: -120 + -7 + 7x + -8x = 0 Combine like terms: -120 + -7 = -127 -127 + 7x + -8x = 0 Combine like terms: 7x + -8x = -1x -127 + -1x = 0 Solving -127 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '127' to each side of the equation. -127 + 127 + -1x = 0 + 127 Combine like terms: -127 + 127 = 0 0 + -1x = 0 + 127 -1x = 0 + 127 Combine like terms: 0 + 127 = 127 -1x = 127 Divide each side by '-1'. x = -127 Simplifying x = -127
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