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Simplifying 5x + -7x + 19 = 3x + 29 Reorder the terms: 19 + 5x + -7x = 3x + 29 Combine like terms: 5x + -7x = -2x 19 + -2x = 3x + 29 Reorder the terms: 19 + -2x = 29 + 3x Solving 19 + -2x = 29 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 19 + -2x + -3x = 29 + 3x + -3x Combine like terms: -2x + -3x = -5x 19 + -5x = 29 + 3x + -3x Combine like terms: 3x + -3x = 0 19 + -5x = 29 + 0 19 + -5x = 29 Add '-19' to each side of the equation. 19 + -19 + -5x = 29 + -19 Combine like terms: 19 + -19 = 0 0 + -5x = 29 + -19 -5x = 29 + -19 Combine like terms: 29 + -19 = 10 -5x = 10 Divide each side by '-5'. x = -2 Simplifying x = -2
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