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Simplifying 19x + 7 + -7x + 18 = 5x + 21 + 2x + -66 Reorder the terms: 7 + 18 + 19x + -7x = 5x + 21 + 2x + -66 Combine like terms: 7 + 18 = 25 25 + 19x + -7x = 5x + 21 + 2x + -66 Combine like terms: 19x + -7x = 12x 25 + 12x = 5x + 21 + 2x + -66 Reorder the terms: 25 + 12x = 21 + -66 + 5x + 2x Combine like terms: 21 + -66 = -45 25 + 12x = -45 + 5x + 2x Combine like terms: 5x + 2x = 7x 25 + 12x = -45 + 7x Solving 25 + 12x = -45 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 25 + 12x + -7x = -45 + 7x + -7x Combine like terms: 12x + -7x = 5x 25 + 5x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 25 + 5x = -45 + 0 25 + 5x = -45 Add '-25' to each side of the equation. 25 + -25 + 5x = -45 + -25 Combine like terms: 25 + -25 = 0 0 + 5x = -45 + -25 5x = -45 + -25 Combine like terms: -45 + -25 = -70 5x = -70 Divide each side by '5'. x = -14 Simplifying x = -14
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