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Simplifying 4x + 11 + 2x + 18 = 7x + 22 Reorder the terms: 11 + 18 + 4x + 2x = 7x + 22 Combine like terms: 11 + 18 = 29 29 + 4x + 2x = 7x + 22 Combine like terms: 4x + 2x = 6x 29 + 6x = 7x + 22 Reorder the terms: 29 + 6x = 22 + 7x Solving 29 + 6x = 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. 29 + 6x + -7x = 22 + 7x + -7x Combine like terms: 6x + -7x = -1x 29 + -1x = 22 + 7x + -7x Combine like terms: 7x + -7x = 0 29 + -1x = 22 + 0 29 + -1x = 22 Add '-29' to each side of the equation. 29 + -29 + -1x = 22 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 22 + -29 -1x = 22 + -29 Combine like terms: 22 + -29 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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