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Simplifying 5x + 14 = 3 + 7x + -19 Reorder the terms: 14 + 5x = 3 + 7x + -19 Reorder the terms: 14 + 5x = 3 + -19 + 7x Combine like terms: 3 + -19 = -16 14 + 5x = -16 + 7x Solving 14 + 5x = -16 + 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. 14 + 5x + -7x = -16 + 7x + -7x Combine like terms: 5x + -7x = -2x 14 + -2x = -16 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -2x = -16 + 0 14 + -2x = -16 Add '-14' to each side of the equation. 14 + -14 + -2x = -16 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -16 + -14 -2x = -16 + -14 Combine like terms: -16 + -14 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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