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Simplifying 6x + 19 = 14x + -45 Reorder the terms: 19 + 6x = 14x + -45 Reorder the terms: 19 + 6x = -45 + 14x Solving 19 + 6x = -45 + 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. 19 + 6x + -14x = -45 + 14x + -14x Combine like terms: 6x + -14x = -8x 19 + -8x = -45 + 14x + -14x Combine like terms: 14x + -14x = 0 19 + -8x = -45 + 0 19 + -8x = -45 Add '-19' to each side of the equation. 19 + -19 + -8x = -45 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = -45 + -19 -8x = -45 + -19 Combine like terms: -45 + -19 = -64 -8x = -64 Divide each side by '-8'. x = 8 Simplifying x = 8
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