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Simplifying 18 + -3x + 10 = 5x + -23 Reorder the terms: 18 + 10 + -3x = 5x + -23 Combine like terms: 18 + 10 = 28 28 + -3x = 5x + -23 Reorder the terms: 28 + -3x = -23 + 5x Solving 28 + -3x = -23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 28 + -3x + -5x = -23 + 5x + -5x Combine like terms: -3x + -5x = -8x 28 + -8x = -23 + 5x + -5x Combine like terms: 5x + -5x = 0 28 + -8x = -23 + 0 28 + -8x = -23 Add '-28' to each side of the equation. 28 + -28 + -8x = -23 + -28 Combine like terms: 28 + -28 = 0 0 + -8x = -23 + -28 -8x = -23 + -28 Combine like terms: -23 + -28 = -51 -8x = -51 Divide each side by '-8'. x = 6.375 Simplifying x = 6.375
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