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Simplifying 5x + 1114 = 7x + 22 Reorder the terms: 1114 + 5x = 7x + 22 Reorder the terms: 1114 + 5x = 22 + 7x Solving 1114 + 5x = 22 + 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. 1114 + 5x + -7x = 22 + 7x + -7x Combine like terms: 5x + -7x = -2x 1114 + -2x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 1114 + -2x = 22 + 0 1114 + -2x = 22 Add '-1114' to each side of the equation. 1114 + -1114 + -2x = 22 + -1114 Combine like terms: 1114 + -1114 = 0 0 + -2x = 22 + -1114 -2x = 22 + -1114 Combine like terms: 22 + -1114 = -1092 -2x = -1092 Divide each side by '-2'. x = 546 Simplifying x = 546
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