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Simplifying 3x + -18 + 2x + 27 = 6x + -23 Reorder the terms: -18 + 27 + 3x + 2x = 6x + -23 Combine like terms: -18 + 27 = 9 9 + 3x + 2x = 6x + -23 Combine like terms: 3x + 2x = 5x 9 + 5x = 6x + -23 Reorder the terms: 9 + 5x = -23 + 6x Solving 9 + 5x = -23 + 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. 9 + 5x + -6x = -23 + 6x + -6x Combine like terms: 5x + -6x = -1x 9 + -1x = -23 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -1x = -23 + 0 9 + -1x = -23 Add '-9' to each side of the equation. 9 + -9 + -1x = -23 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = -23 + -9 -1x = -23 + -9 Combine like terms: -23 + -9 = -32 -1x = -32 Divide each side by '-1'. x = 32 Simplifying x = 32
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