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Simplifying x + 3x + 7 = 42 + x + -4 Reorder the terms: 7 + x + 3x = 42 + x + -4 Combine like terms: x + 3x = 4x 7 + 4x = 42 + x + -4 Reorder the terms: 7 + 4x = 42 + -4 + x Combine like terms: 42 + -4 = 38 7 + 4x = 38 + x Solving 7 + 4x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 4x + -1x = 38 + x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x = 38 + x + -1x Combine like terms: x + -1x = 0 7 + 3x = 38 + 0 7 + 3x = 38 Add '-7' to each side of the equation. 7 + -7 + 3x = 38 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 38 + -7 3x = 38 + -7 Combine like terms: 38 + -7 = 31 3x = 31 Divide each side by '3'. x = 10.33333333 Simplifying x = 10.33333333
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