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Simplifying 5 + -3x + -18 = 1x + -1(1 + -8x) Reorder the terms: 5 + -18 + -3x = 1x + -1(1 + -8x) Combine like terms: 5 + -18 = -13 -13 + -3x = 1x + -1(1 + -8x) -13 + -3x = 1x + (1 * -1 + -8x * -1) -13 + -3x = 1x + (-1 + 8x) Reorder the terms: -13 + -3x = -1 + 1x + 8x Combine like terms: 1x + 8x = 9x -13 + -3x = -1 + 9x Solving -13 + -3x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -13 + -3x + -9x = -1 + 9x + -9x Combine like terms: -3x + -9x = -12x -13 + -12x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -13 + -12x = -1 + 0 -13 + -12x = -1 Add '13' to each side of the equation. -13 + 13 + -12x = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -12x = -1 + 13 -12x = -1 + 13 Combine like terms: -1 + 13 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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