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Simplifying 5x + 23 = 6x + 4 + -17 Reorder the terms: 23 + 5x = 6x + 4 + -17 Reorder the terms: 23 + 5x = 4 + -17 + 6x Combine like terms: 4 + -17 = -13 23 + 5x = -13 + 6x Solving 23 + 5x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 23 + 5x + -6x = -13 + 6x + -6x Combine like terms: 5x + -6x = -1x 23 + -1x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + -1x = -13 + 0 23 + -1x = -13 Add '-23' to each side of the equation. 23 + -23 + -1x = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = -13 + -23 -1x = -13 + -23 Combine like terms: -13 + -23 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36
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