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Simplifying 65 + 2x + 34 + -1x = 3x + 12 + -4x + -23 Reorder the terms: 65 + 34 + 2x + -1x = 3x + 12 + -4x + -23 Combine like terms: 65 + 34 = 99 99 + 2x + -1x = 3x + 12 + -4x + -23 Combine like terms: 2x + -1x = 1x 99 + 1x = 3x + 12 + -4x + -23 Reorder the terms: 99 + 1x = 12 + -23 + 3x + -4x Combine like terms: 12 + -23 = -11 99 + 1x = -11 + 3x + -4x Combine like terms: 3x + -4x = -1x 99 + 1x = -11 + -1x Solving 99 + 1x = -11 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 99 + 1x + x = -11 + -1x + x Combine like terms: 1x + x = 2x 99 + 2x = -11 + -1x + x Combine like terms: -1x + x = 0 99 + 2x = -11 + 0 99 + 2x = -11 Add '-99' to each side of the equation. 99 + -99 + 2x = -11 + -99 Combine like terms: 99 + -99 = 0 0 + 2x = -11 + -99 2x = -11 + -99 Combine like terms: -11 + -99 = -110 2x = -110 Divide each side by '2'. x = -55 Simplifying x = -55
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