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Simplifying 18(x + -1) = 3(6 + -1x) + 15x Reorder the terms: 18(-1 + x) = 3(6 + -1x) + 15x (-1 * 18 + x * 18) = 3(6 + -1x) + 15x (-18 + 18x) = 3(6 + -1x) + 15x -18 + 18x = (6 * 3 + -1x * 3) + 15x -18 + 18x = (18 + -3x) + 15x Combine like terms: -3x + 15x = 12x -18 + 18x = 18 + 12x Solving -18 + 18x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 18x + -12x = 18 + 12x + -12x Combine like terms: 18x + -12x = 6x -18 + 6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 6x = 18 + 0 -18 + 6x = 18 Add '18' to each side of the equation. -18 + 18 + 6x = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 6x = 18 + 18 6x = 18 + 18 Combine like terms: 18 + 18 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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