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Simplifying 3x + -2(6 + -9x) = 10x + -45 3x + (6 * -2 + -9x * -2) = 10x + -45 3x + (-12 + 18x) = 10x + -45 Reorder the terms: -12 + 3x + 18x = 10x + -45 Combine like terms: 3x + 18x = 21x -12 + 21x = 10x + -45 Reorder the terms: -12 + 21x = -45 + 10x Solving -12 + 21x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 21x + -10x = -45 + 10x + -10x Combine like terms: 21x + -10x = 11x -12 + 11x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 11x = -45 + 0 -12 + 11x = -45 Add '12' to each side of the equation. -12 + 12 + 11x = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = -45 + 12 11x = -45 + 12 Combine like terms: -45 + 12 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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