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Simplifying 3(x + -6) + -1(6x + 3) = 6(5x + 2) Reorder the terms: 3(-6 + x) + -1(6x + 3) = 6(5x + 2) (-6 * 3 + x * 3) + -1(6x + 3) = 6(5x + 2) (-18 + 3x) + -1(6x + 3) = 6(5x + 2) Reorder the terms: -18 + 3x + -1(3 + 6x) = 6(5x + 2) -18 + 3x + (3 * -1 + 6x * -1) = 6(5x + 2) -18 + 3x + (-3 + -6x) = 6(5x + 2) Reorder the terms: -18 + -3 + 3x + -6x = 6(5x + 2) Combine like terms: -18 + -3 = -21 -21 + 3x + -6x = 6(5x + 2) Combine like terms: 3x + -6x = -3x -21 + -3x = 6(5x + 2) Reorder the terms: -21 + -3x = 6(2 + 5x) -21 + -3x = (2 * 6 + 5x * 6) -21 + -3x = (12 + 30x) Solving -21 + -3x = 12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -21 + -3x + -30x = 12 + 30x + -30x Combine like terms: -3x + -30x = -33x -21 + -33x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 -21 + -33x = 12 + 0 -21 + -33x = 12 Add '21' to each side of the equation. -21 + 21 + -33x = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -33x = 12 + 21 -33x = 12 + 21 Combine like terms: 12 + 21 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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