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Simplifying 3x + -1(-5) = 45 + -5x Multiply -1 * -5 3x + 5 = 45 + -5x Reorder the terms: 5 + 3x = 45 + -5x Solving 5 + 3x = 45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 3x + 5x = 45 + -5x + 5x Combine like terms: 3x + 5x = 8x 5 + 8x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 8x = 45 + 0 5 + 8x = 45 Add '-5' to each side of the equation. 5 + -5 + 8x = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 45 + -5 8x = 45 + -5 Combine like terms: 45 + -5 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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