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Simplifying 5(x + -3) = -7(x + 4) + 45 Reorder the terms: 5(-3 + x) = -7(x + 4) + 45 (-3 * 5 + x * 5) = -7(x + 4) + 45 (-15 + 5x) = -7(x + 4) + 45 Reorder the terms: -15 + 5x = -7(4 + x) + 45 -15 + 5x = (4 * -7 + x * -7) + 45 -15 + 5x = (-28 + -7x) + 45 Reorder the terms: -15 + 5x = -28 + 45 + -7x Combine like terms: -28 + 45 = 17 -15 + 5x = 17 + -7x Solving -15 + 5x = 17 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -15 + 5x + 7x = 17 + -7x + 7x Combine like terms: 5x + 7x = 12x -15 + 12x = 17 + -7x + 7x Combine like terms: -7x + 7x = 0 -15 + 12x = 17 + 0 -15 + 12x = 17 Add '15' to each side of the equation. -15 + 15 + 12x = 17 + 15 Combine like terms: -15 + 15 = 0 0 + 12x = 17 + 15 12x = 17 + 15 Combine like terms: 17 + 15 = 32 12x = 32 Divide each side by '12'. x = 2.666666667 Simplifying x = 2.666666667
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