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Simplifying 8x + -1(2x + 6) = 9x + -18 Reorder the terms: 8x + -1(6 + 2x) = 9x + -18 8x + (6 * -1 + 2x * -1) = 9x + -18 8x + (-6 + -2x) = 9x + -18 Reorder the terms: -6 + 8x + -2x = 9x + -18 Combine like terms: 8x + -2x = 6x -6 + 6x = 9x + -18 Reorder the terms: -6 + 6x = -18 + 9x Solving -6 + 6x = -18 + 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. -6 + 6x + -9x = -18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = -18 + 0 -6 + -3x = -18 Add '6' to each side of the equation. -6 + 6 + -3x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -18 + 6 -3x = -18 + 6 Combine like terms: -18 + 6 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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