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Simplifying 10x + 8 = 12x + -15 Reorder the terms: 8 + 10x = 12x + -15 Reorder the terms: 8 + 10x = -15 + 12x Solving 8 + 10x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 10x + -12x = -15 + 12x + -12x Combine like terms: 10x + -12x = -2x 8 + -2x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -2x = -15 + 0 8 + -2x = -15 Add '-8' to each side of the equation. 8 + -8 + -2x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -15 + -8 -2x = -15 + -8 Combine like terms: -15 + -8 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5
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