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Simplifying 4[x + -1(4 + -1x)] + -7(x + 1) = 0 4[x + (4 * -1 + -1x * -1)] + -7(x + 1) = 0 4[x + (-4 + 1x)] + -7(x + 1) = 0 Reorder the terms: 4[-4 + x + 1x] + -7(x + 1) = 0 Combine like terms: x + 1x = 2x 4[-4 + 2x] + -7(x + 1) = 0 [-4 * 4 + 2x * 4] + -7(x + 1) = 0 [-16 + 8x] + -7(x + 1) = 0 Reorder the terms: -16 + 8x + -7(1 + x) = 0 -16 + 8x + (1 * -7 + x * -7) = 0 -16 + 8x + (-7 + -7x) = 0 Reorder the terms: -16 + -7 + 8x + -7x = 0 Combine like terms: -16 + -7 = -23 -23 + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x -23 + 1x = 0 Solving -23 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 1x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1x = 0 + 23 1x = 0 + 23 Combine like terms: 0 + 23 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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