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Simplifying 6x + 33 = 14x + -53 Reorder the terms: 33 + 6x = 14x + -53 Reorder the terms: 33 + 6x = -53 + 14x Solving 33 + 6x = -53 + 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 = -53 + 14x + -14x Combine like terms: 6x + -14x = -8x 33 + -8x = -53 + 14x + -14x Combine like terms: 14x + -14x = 0 33 + -8x = -53 + 0 33 + -8x = -53 Add '-33' to each side of the equation. 33 + -33 + -8x = -53 + -33 Combine like terms: 33 + -33 = 0 0 + -8x = -53 + -33 -8x = -53 + -33 Combine like terms: -53 + -33 = -86 -8x = -86 Divide each side by '-8'. x = 10.75 Simplifying x = 10.75
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