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Simplifying 5x + 12 + -18 = 10x + -16 + 23x Reorder the terms: 12 + -18 + 5x = 10x + -16 + 23x Combine like terms: 12 + -18 = -6 -6 + 5x = 10x + -16 + 23x Reorder the terms: -6 + 5x = -16 + 10x + 23x Combine like terms: 10x + 23x = 33x -6 + 5x = -16 + 33x Solving -6 + 5x = -16 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -6 + 5x + -33x = -16 + 33x + -33x Combine like terms: 5x + -33x = -28x -6 + -28x = -16 + 33x + -33x Combine like terms: 33x + -33x = 0 -6 + -28x = -16 + 0 -6 + -28x = -16 Add '6' to each side of the equation. -6 + 6 + -28x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -28x = -16 + 6 -28x = -16 + 6 Combine like terms: -16 + 6 = -10 -28x = -10 Divide each side by '-28'. x = 0.3571428571 Simplifying x = 0.3571428571
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