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Simplifying 5x + 5 + 5x + 51 = 10x + 84 + 10x + -100 Reorder the terms: 5 + 51 + 5x + 5x = 10x + 84 + 10x + -100 Combine like terms: 5 + 51 = 56 56 + 5x + 5x = 10x + 84 + 10x + -100 Combine like terms: 5x + 5x = 10x 56 + 10x = 10x + 84 + 10x + -100 Reorder the terms: 56 + 10x = 84 + -100 + 10x + 10x Combine like terms: 84 + -100 = -16 56 + 10x = -16 + 10x + 10x Combine like terms: 10x + 10x = 20x 56 + 10x = -16 + 20x Solving 56 + 10x = -16 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 56 + 10x + -20x = -16 + 20x + -20x Combine like terms: 10x + -20x = -10x 56 + -10x = -16 + 20x + -20x Combine like terms: 20x + -20x = 0 56 + -10x = -16 + 0 56 + -10x = -16 Add '-56' to each side of the equation. 56 + -56 + -10x = -16 + -56 Combine like terms: 56 + -56 = 0 0 + -10x = -16 + -56 -10x = -16 + -56 Combine like terms: -16 + -56 = -72 -10x = -72 Divide each side by '-10'. x = 7.2 Simplifying x = 7.2
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