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Simplifying 6x + -3(3 + -2x) = 3(x + -3) + -45 6x + (3 * -3 + -2x * -3) = 3(x + -3) + -45 6x + (-9 + 6x) = 3(x + -3) + -45 Reorder the terms: -9 + 6x + 6x = 3(x + -3) + -45 Combine like terms: 6x + 6x = 12x -9 + 12x = 3(x + -3) + -45 Reorder the terms: -9 + 12x = 3(-3 + x) + -45 -9 + 12x = (-3 * 3 + x * 3) + -45 -9 + 12x = (-9 + 3x) + -45 Reorder the terms: -9 + 12x = -9 + -45 + 3x Combine like terms: -9 + -45 = -54 -9 + 12x = -54 + 3x Solving -9 + 12x = -54 + 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. -9 + 12x + -3x = -54 + 3x + -3x Combine like terms: 12x + -3x = 9x -9 + 9x = -54 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 9x = -54 + 0 -9 + 9x = -54 Add '9' to each side of the equation. -9 + 9 + 9x = -54 + 9 Combine like terms: -9 + 9 = 0 0 + 9x = -54 + 9 9x = -54 + 9 Combine like terms: -54 + 9 = -45 9x = -45 Divide each side by '9'. x = -5 Simplifying x = -5
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