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Simplifying -1[10x + -1(18x + 4)] = 4 + (7x + 1) Reorder the terms: -1[10x + -1(4 + 18x)] = 4 + (7x + 1) -1[10x + (4 * -1 + 18x * -1)] = 4 + (7x + 1) -1[10x + (-4 + -18x)] = 4 + (7x + 1) Reorder the terms: -1[-4 + 10x + -18x] = 4 + (7x + 1) Combine like terms: 10x + -18x = -8x -1[-4 + -8x] = 4 + (7x + 1) [-4 * -1 + -8x * -1] = 4 + (7x + 1) [4 + 8x] = 4 + (7x + 1) Reorder the terms: 4 + 8x = 4 + (1 + 7x) Remove parenthesis around (1 + 7x) 4 + 8x = 4 + 1 + 7x Combine like terms: 4 + 1 = 5 4 + 8x = 5 + 7x Solving 4 + 8x = 5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 4 + 8x + -7x = 5 + 7x + -7x Combine like terms: 8x + -7x = 1x 4 + 1x = 5 + 7x + -7x Combine like terms: 7x + -7x = 0 4 + 1x = 5 + 0 4 + 1x = 5 Add '-4' to each side of the equation. 4 + -4 + 1x = 5 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 5 + -4 1x = 5 + -4 Combine like terms: 5 + -4 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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