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Simplifying 3(2x + -7) + -1(x + -9) = 2x + -33 Reorder the terms: 3(-7 + 2x) + -1(x + -9) = 2x + -33 (-7 * 3 + 2x * 3) + -1(x + -9) = 2x + -33 (-21 + 6x) + -1(x + -9) = 2x + -33 Reorder the terms: -21 + 6x + -1(-9 + x) = 2x + -33 -21 + 6x + (-9 * -1 + x * -1) = 2x + -33 -21 + 6x + (9 + -1x) = 2x + -33 Reorder the terms: -21 + 9 + 6x + -1x = 2x + -33 Combine like terms: -21 + 9 = -12 -12 + 6x + -1x = 2x + -33 Combine like terms: 6x + -1x = 5x -12 + 5x = 2x + -33 Reorder the terms: -12 + 5x = -33 + 2x Solving -12 + 5x = -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. -12 + 5x + -2x = -33 + 2x + -2x Combine like terms: 5x + -2x = 3x -12 + 3x = -33 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 3x = -33 + 0 -12 + 3x = -33 Add '12' to each side of the equation. -12 + 12 + 3x = -33 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = -33 + 12 3x = -33 + 12 Combine like terms: -33 + 12 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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