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Simplifying -3(-4x + -3) + 45 = -6x Reorder the terms: -3(-3 + -4x) + 45 = -6x (-3 * -3 + -4x * -3) + 45 = -6x (9 + 12x) + 45 = -6x Reorder the terms: 9 + 45 + 12x = -6x Combine like terms: 9 + 45 = 54 54 + 12x = -6x Solving 54 + 12x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 54 + 12x + 6x = -6x + 6x Combine like terms: 12x + 6x = 18x 54 + 18x = -6x + 6x Combine like terms: -6x + 6x = 0 54 + 18x = 0 Add '-54' to each side of the equation. 54 + -54 + 18x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 18x = 0 + -54 18x = 0 + -54 Combine like terms: 0 + -54 = -54 18x = -54 Divide each side by '18'. x = -3 Simplifying x = -3
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