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Simplifying 0 = 4[x + -1(7 + -1x)] + -7(x + 1) 0 = 4[x + (7 * -1 + -1x * -1)] + -7(x + 1) 0 = 4[x + (-7 + 1x)] + -7(x + 1) Reorder the terms: 0 = 4[-7 + x + 1x] + -7(x + 1) Combine like terms: x + 1x = 2x 0 = 4[-7 + 2x] + -7(x + 1) 0 = [-7 * 4 + 2x * 4] + -7(x + 1) 0 = [-28 + 8x] + -7(x + 1) Reorder the terms: 0 = -28 + 8x + -7(1 + x) 0 = -28 + 8x + (1 * -7 + x * -7) 0 = -28 + 8x + (-7 + -7x) Reorder the terms: 0 = -28 + -7 + 8x + -7x Combine like terms: -28 + -7 = -35 0 = -35 + 8x + -7x Combine like terms: 8x + -7x = 1x 0 = -35 + 1x Solving 0 = -35 + 1x 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. 0 + -1x = -35 + 1x + -1x Remove the zero: -1x = -35 + 1x + -1x Combine like terms: 1x + -1x = 0 -1x = -35 + 0 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35
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