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Simplifying 12 + -5(9 + -2x) = 3(x + -2) + -27 12 + (9 * -5 + -2x * -5) = 3(x + -2) + -27 12 + (-45 + 10x) = 3(x + -2) + -27 Combine like terms: 12 + -45 = -33 -33 + 10x = 3(x + -2) + -27 Reorder the terms: -33 + 10x = 3(-2 + x) + -27 -33 + 10x = (-2 * 3 + x * 3) + -27 -33 + 10x = (-6 + 3x) + -27 Reorder the terms: -33 + 10x = -6 + -27 + 3x Combine like terms: -6 + -27 = -33 -33 + 10x = -33 + 3x Add '33' to each side of the equation. -33 + 33 + 10x = -33 + 33 + 3x Combine like terms: -33 + 33 = 0 0 + 10x = -33 + 33 + 3x 10x = -33 + 33 + 3x Combine like terms: -33 + 33 = 0 10x = 0 + 3x 10x = 3x Solving 10x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10x + -3x = 3x + -3x Combine like terms: 10x + -3x = 7x 7x = 3x + -3x Combine like terms: 3x + -3x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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