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Simplifying -1[9x + (9x + 1)] = 4 + -1(8x + 3) Reorder the terms: -1[9x + (1 + 9x)] = 4 + -1(8x + 3) Remove parenthesis around (1 + 9x) -1[9x + 1 + 9x] = 4 + -1(8x + 3) Reorder the terms: -1[1 + 9x + 9x] = 4 + -1(8x + 3) Combine like terms: 9x + 9x = 18x -1[1 + 18x] = 4 + -1(8x + 3) [1 * -1 + 18x * -1] = 4 + -1(8x + 3) [-1 + -18x] = 4 + -1(8x + 3) Reorder the terms: -1 + -18x = 4 + -1(3 + 8x) -1 + -18x = 4 + (3 * -1 + 8x * -1) -1 + -18x = 4 + (-3 + -8x) Combine like terms: 4 + -3 = 1 -1 + -18x = 1 + -8x Solving -1 + -18x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -1 + -18x + 8x = 1 + -8x + 8x Combine like terms: -18x + 8x = -10x -1 + -10x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + -10x = 1 + 0 -1 + -10x = 1 Add '1' to each side of the equation. -1 + 1 + -10x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 1 + 1 -10x = 1 + 1 Combine like terms: 1 + 1 = 2 -10x = 2 Divide each side by '-10'. x = -0.2 Simplifying x = -0.2
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