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Simplifying 22x + 3y + 4 = 100x + -4 Reorder the terms: 4 + 22x + 3y = 100x + -4 Reorder the terms: 4 + 22x + 3y = -4 + 100x Solving 4 + 22x + 3y = -4 + 100x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-100x' to each side of the equation. 4 + 22x + -100x + 3y = -4 + 100x + -100x Combine like terms: 22x + -100x = -78x 4 + -78x + 3y = -4 + 100x + -100x Combine like terms: 100x + -100x = 0 4 + -78x + 3y = -4 + 0 4 + -78x + 3y = -4 Add '-4' to each side of the equation. 4 + -78x + -4 + 3y = -4 + -4 Reorder the terms: 4 + -4 + -78x + 3y = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -78x + 3y = -4 + -4 -78x + 3y = -4 + -4 Combine like terms: -4 + -4 = -8 -78x + 3y = -8 Add '-3y' to each side of the equation. -78x + 3y + -3y = -8 + -3y Combine like terms: 3y + -3y = 0 -78x + 0 = -8 + -3y -78x = -8 + -3y Divide each side by '-78'. x = 0.1025641026 + 0.03846153846y Simplifying x = 0.1025641026 + 0.03846153846y
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