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Simplifying 5x + 12 + -18 = 10x + -16 + 23z Reorder the terms: 12 + -18 + 5x = 10x + -16 + 23z Combine like terms: 12 + -18 = -6 -6 + 5x = 10x + -16 + 23z Reorder the terms: -6 + 5x = -16 + 10x + 23z Solving -6 + 5x = -16 + 10x + 23z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 5x + -10x = -16 + 10x + -10x + 23z Combine like terms: 5x + -10x = -5x -6 + -5x = -16 + 10x + -10x + 23z Combine like terms: 10x + -10x = 0 -6 + -5x = -16 + 0 + 23z -6 + -5x = -16 + 23z Add '6' to each side of the equation. -6 + 6 + -5x = -16 + 6 + 23z Combine like terms: -6 + 6 = 0 0 + -5x = -16 + 6 + 23z -5x = -16 + 6 + 23z Combine like terms: -16 + 6 = -10 -5x = -10 + 23z Divide each side by '-5'. x = 2 + -4.6z Simplifying x = 2 + -4.6z
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