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Simplifying 10x + -3 = 12x + -15 Reorder the terms: -3 + 10x = 12x + -15 Reorder the terms: -3 + 10x = -15 + 12x Solving -3 + 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. -3 + 10x + -12x = -15 + 12x + -12x Combine like terms: 10x + -12x = -2x -3 + -2x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -2x = -15 + 0 -3 + -2x = -15 Add '3' to each side of the equation. -3 + 3 + -2x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -15 + 3 -2x = -15 + 3 Combine like terms: -15 + 3 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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