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Simplifying 6x + -1(5x + 6) = 3x + -18 Reorder the terms: 6x + -1(6 + 5x) = 3x + -18 6x + (6 * -1 + 5x * -1) = 3x + -18 6x + (-6 + -5x) = 3x + -18 Reorder the terms: -6 + 6x + -5x = 3x + -18 Combine like terms: 6x + -5x = 1x -6 + 1x = 3x + -18 Reorder the terms: -6 + 1x = -18 + 3x Solving -6 + 1x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 1x + -3x = -18 + 3x + -3x Combine like terms: 1x + -3x = -2x -6 + -2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -2x = -18 + 0 -6 + -2x = -18 Add '6' to each side of the equation. -6 + 6 + -2x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -18 + 6 -2x = -18 + 6 Combine like terms: -18 + 6 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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