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Simplifying 6x + -33 = 14x + -29 Reorder the terms: -33 + 6x = 14x + -29 Reorder the terms: -33 + 6x = -29 + 14x Solving -33 + 6x = -29 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -33 + 6x + -14x = -29 + 14x + -14x Combine like terms: 6x + -14x = -8x -33 + -8x = -29 + 14x + -14x Combine like terms: 14x + -14x = 0 -33 + -8x = -29 + 0 -33 + -8x = -29 Add '33' to each side of the equation. -33 + 33 + -8x = -29 + 33 Combine like terms: -33 + 33 = 0 0 + -8x = -29 + 33 -8x = -29 + 33 Combine like terms: -29 + 33 = 4 -8x = 4 Divide each side by '-8'. x = -0.5 Simplifying x = -0.5
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