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Simplifying 3x + 7 + -1x = 11 + -2x + 8 Reorder the terms: 7 + 3x + -1x = 11 + -2x + 8 Combine like terms: 3x + -1x = 2x 7 + 2x = 11 + -2x + 8 Reorder the terms: 7 + 2x = 11 + 8 + -2x Combine like terms: 11 + 8 = 19 7 + 2x = 19 + -2x Solving 7 + 2x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 2x + 2x = 19 + -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = 19 + 0 7 + 4x = 19 Add '-7' to each side of the equation. 7 + -7 + 4x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 19 + -7 4x = 19 + -7 Combine like terms: 19 + -7 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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