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Simplifying 5x + -20 + 15x + 21 = 19x + -19 + 15 Reorder the terms: -20 + 21 + 5x + 15x = 19x + -19 + 15 Combine like terms: -20 + 21 = 1 1 + 5x + 15x = 19x + -19 + 15 Combine like terms: 5x + 15x = 20x 1 + 20x = 19x + -19 + 15 Reorder the terms: 1 + 20x = -19 + 15 + 19x Combine like terms: -19 + 15 = -4 1 + 20x = -4 + 19x Solving 1 + 20x = -4 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. 1 + 20x + -19x = -4 + 19x + -19x Combine like terms: 20x + -19x = 1x 1 + 1x = -4 + 19x + -19x Combine like terms: 19x + -19x = 0 1 + 1x = -4 + 0 1 + 1x = -4 Add '-1' to each side of the equation. 1 + -1 + 1x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -4 + -1 1x = -4 + -1 Combine like terms: -4 + -1 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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