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Simplifying -10x + -3(9 + -1x) = 4(-2 + 5) + -12 -10x + (9 * -3 + -1x * -3) = 4(-2 + 5) + -12 -10x + (-27 + 3x) = 4(-2 + 5) + -12 Reorder the terms: -27 + -10x + 3x = 4(-2 + 5) + -12 Combine like terms: -10x + 3x = -7x -27 + -7x = 4(-2 + 5) + -12 Combine like terms: -2 + 5 = 3 -27 + -7x = 4(3) + -12 Multiply 4 * 3 -27 + -7x = 12 + -12 Combine like terms: 12 + -12 = 0 -27 + -7x = 0 Solving -27 + -7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -7x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = 0 + 27 -7x = 0 + 27 Combine like terms: 0 + 27 = 27 -7x = 27 Divide each side by '-7'. x = -3.857142857 Simplifying x = -3.857142857
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