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Simplifying 5(x + -3) = -2x + 34 Reorder the terms: 5(-3 + x) = -2x + 34 (-3 * 5 + x * 5) = -2x + 34 (-15 + 5x) = -2x + 34 Reorder the terms: -15 + 5x = 34 + -2x Solving -15 + 5x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -15 + 5x + 2x = 34 + -2x + 2x Combine like terms: 5x + 2x = 7x -15 + 7x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 7x = 34 + 0 -15 + 7x = 34 Add '15' to each side of the equation. -15 + 15 + 7x = 34 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 34 + 15 7x = 34 + 15 Combine like terms: 34 + 15 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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