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Simplifying 10x + -15 + 12 = 27x + -4 + 3 Reorder the terms: -15 + 12 + 10x = 27x + -4 + 3 Combine like terms: -15 + 12 = -3 -3 + 10x = 27x + -4 + 3 Reorder the terms: -3 + 10x = -4 + 3 + 27x Combine like terms: -4 + 3 = -1 -3 + 10x = -1 + 27x Solving -3 + 10x = -1 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -3 + 10x + -27x = -1 + 27x + -27x Combine like terms: 10x + -27x = -17x -3 + -17x = -1 + 27x + -27x Combine like terms: 27x + -27x = 0 -3 + -17x = -1 + 0 -3 + -17x = -1 Add '3' to each side of the equation. -3 + 3 + -17x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -17x = -1 + 3 -17x = -1 + 3 Combine like terms: -1 + 3 = 2 -17x = 2 Divide each side by '-17'. x = -0.1176470588 Simplifying x = -0.1176470588
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