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Simplifying 5x + -1x + 35 = 7x + -4 Reorder the terms: 35 + 5x + -1x = 7x + -4 Combine like terms: 5x + -1x = 4x 35 + 4x = 7x + -4 Reorder the terms: 35 + 4x = -4 + 7x Solving 35 + 4x = -4 + 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. 35 + 4x + -7x = -4 + 7x + -7x Combine like terms: 4x + -7x = -3x 35 + -3x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 35 + -3x = -4 + 0 35 + -3x = -4 Add '-35' to each side of the equation. 35 + -35 + -3x = -4 + -35 Combine like terms: 35 + -35 = 0 0 + -3x = -4 + -35 -3x = -4 + -35 Combine like terms: -4 + -35 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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