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Simplifying 17x + -4(3x + -6) = 2x + 33 Reorder the terms: 17x + -4(-6 + 3x) = 2x + 33 17x + (-6 * -4 + 3x * -4) = 2x + 33 17x + (24 + -12x) = 2x + 33 Reorder the terms: 24 + 17x + -12x = 2x + 33 Combine like terms: 17x + -12x = 5x 24 + 5x = 2x + 33 Reorder the terms: 24 + 5x = 33 + 2x Solving 24 + 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. 24 + 5x + -2x = 33 + 2x + -2x Combine like terms: 5x + -2x = 3x 24 + 3x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 3x = 33 + 0 24 + 3x = 33 Add '-24' to each side of the equation. 24 + -24 + 3x = 33 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 33 + -24 3x = 33 + -24 Combine like terms: 33 + -24 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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