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Simplifying 3(x + -3) + 7 = -2x + 38 Reorder the terms: 3(-3 + x) + 7 = -2x + 38 (-3 * 3 + x * 3) + 7 = -2x + 38 (-9 + 3x) + 7 = -2x + 38 Reorder the terms: -9 + 7 + 3x = -2x + 38 Combine like terms: -9 + 7 = -2 -2 + 3x = -2x + 38 Reorder the terms: -2 + 3x = 38 + -2x Solving -2 + 3x = 38 + -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. -2 + 3x + 2x = 38 + -2x + 2x Combine like terms: 3x + 2x = 5x -2 + 5x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 5x = 38 + 0 -2 + 5x = 38 Add '2' to each side of the equation. -2 + 2 + 5x = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 38 + 2 5x = 38 + 2 Combine like terms: 38 + 2 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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