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Simplifying 3(x + -1) = -3x + 45 Reorder the terms: 3(-1 + x) = -3x + 45 (-1 * 3 + x * 3) = -3x + 45 (-3 + 3x) = -3x + 45 Reorder the terms: -3 + 3x = 45 + -3x Solving -3 + 3x = 45 + -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. -3 + 3x + 3x = 45 + -3x + 3x Combine like terms: 3x + 3x = 6x -3 + 6x = 45 + -3x + 3x Combine like terms: -3x + 3x = 0 -3 + 6x = 45 + 0 -3 + 6x = 45 Add '3' to each side of the equation. -3 + 3 + 6x = 45 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = 45 + 3 6x = 45 + 3 Combine like terms: 45 + 3 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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