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Simplifying 6x + -1(7x + 6) = 2x + -33 Reorder the terms: 6x + -1(6 + 7x) = 2x + -33 6x + (6 * -1 + 7x * -1) = 2x + -33 6x + (-6 + -7x) = 2x + -33 Reorder the terms: -6 + 6x + -7x = 2x + -33 Combine like terms: 6x + -7x = -1x -6 + -1x = 2x + -33 Reorder the terms: -6 + -1x = -33 + 2x Solving -6 + -1x = -33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + -1x + -2x = -33 + 2x + -2x Combine like terms: -1x + -2x = -3x -6 + -3x = -33 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + -3x = -33 + 0 -6 + -3x = -33 Add '6' to each side of the equation. -6 + 6 + -3x = -33 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = -33 + 6 -3x = -33 + 6 Combine like terms: -33 + 6 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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