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Simplifying 4x + 4 + 18 = 5x + 10 + -3 Reorder the terms: 4 + 18 + 4x = 5x + 10 + -3 Combine like terms: 4 + 18 = 22 22 + 4x = 5x + 10 + -3 Reorder the terms: 22 + 4x = 10 + -3 + 5x Combine like terms: 10 + -3 = 7 22 + 4x = 7 + 5x Solving 22 + 4x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 22 + 4x + -5x = 7 + 5x + -5x Combine like terms: 4x + -5x = -1x 22 + -1x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + -1x = 7 + 0 22 + -1x = 7 Add '-22' to each side of the equation. 22 + -22 + -1x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 7 + -22 -1x = 7 + -22 Combine like terms: 7 + -22 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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