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Simplifying 10x + 30 + -4x + -8 = 7x + 35 Reorder the terms: 30 + -8 + 10x + -4x = 7x + 35 Combine like terms: 30 + -8 = 22 22 + 10x + -4x = 7x + 35 Combine like terms: 10x + -4x = 6x 22 + 6x = 7x + 35 Reorder the terms: 22 + 6x = 35 + 7x Solving 22 + 6x = 35 + 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. 22 + 6x + -7x = 35 + 7x + -7x Combine like terms: 6x + -7x = -1x 22 + -1x = 35 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + -1x = 35 + 0 22 + -1x = 35 Add '-22' to each side of the equation. 22 + -22 + -1x = 35 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 35 + -22 -1x = 35 + -22 Combine like terms: 35 + -22 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13
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