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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 = 15x -12 + 15x = 10x + -45 Reorder the terms: -12 + 15x = -45 + 10x Solving -12 + 15x = -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 + 15x + -10x = -45 + 10x + -10x Combine like terms: 15x + -10x = 5x -12 + 5x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + 5x = -45 + 0 -12 + 5x = -45 Add '12' to each side of the equation. -12 + 12 + 5x = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = -45 + 12 5x = -45 + 12 Combine like terms: -45 + 12 = -33 5x = -33 Divide each side by '5'. x = -6.6 Simplifying x = -6.6
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