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Simplifying -33 + -6x = 7x + 2(8x + -2) Reorder the terms: -33 + -6x = 7x + 2(-2 + 8x) -33 + -6x = 7x + (-2 * 2 + 8x * 2) -33 + -6x = 7x + (-4 + 16x) Reorder the terms: -33 + -6x = -4 + 7x + 16x Combine like terms: 7x + 16x = 23x -33 + -6x = -4 + 23x Solving -33 + -6x = -4 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. -33 + -6x + -23x = -4 + 23x + -23x Combine like terms: -6x + -23x = -29x -33 + -29x = -4 + 23x + -23x Combine like terms: 23x + -23x = 0 -33 + -29x = -4 + 0 -33 + -29x = -4 Add '33' to each side of the equation. -33 + 33 + -29x = -4 + 33 Combine like terms: -33 + 33 = 0 0 + -29x = -4 + 33 -29x = -4 + 33 Combine like terms: -4 + 33 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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