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Simplifying 5(x + -1) + 45 = -3x Reorder the terms: 5(-1 + x) + 45 = -3x (-1 * 5 + x * 5) + 45 = -3x (-5 + 5x) + 45 = -3x Reorder the terms: -5 + 45 + 5x = -3x Combine like terms: -5 + 45 = 40 40 + 5x = -3x Solving 40 + 5x = -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. 40 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 40 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 40 + 8x = 0 Add '-40' to each side of the equation. 40 + -40 + 8x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = 0 + -40 8x = 0 + -40 Combine like terms: 0 + -40 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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