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Simplifying 12x + 24 + 6x + 18 = 10x + 88 Reorder the terms: 24 + 18 + 12x + 6x = 10x + 88 Combine like terms: 24 + 18 = 42 42 + 12x + 6x = 10x + 88 Combine like terms: 12x + 6x = 18x 42 + 18x = 10x + 88 Reorder the terms: 42 + 18x = 88 + 10x Solving 42 + 18x = 88 + 10x 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. 42 + 18x + -10x = 88 + 10x + -10x Combine like terms: 18x + -10x = 8x 42 + 8x = 88 + 10x + -10x Combine like terms: 10x + -10x = 0 42 + 8x = 88 + 0 42 + 8x = 88 Add '-42' to each side of the equation. 42 + -42 + 8x = 88 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 88 + -42 8x = 88 + -42 Combine like terms: 88 + -42 = 46 8x = 46 Divide each side by '8'. x = 5.75 Simplifying x = 5.75
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