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Simplifying 3(x + 2) + 5(x + -3) + -7x + 4 = 0 Reorder the terms: 3(2 + x) + 5(x + -3) + -7x + 4 = 0 (2 * 3 + x * 3) + 5(x + -3) + -7x + 4 = 0 (6 + 3x) + 5(x + -3) + -7x + 4 = 0 Reorder the terms: 6 + 3x + 5(-3 + x) + -7x + 4 = 0 6 + 3x + (-3 * 5 + x * 5) + -7x + 4 = 0 6 + 3x + (-15 + 5x) + -7x + 4 = 0 Reorder the terms: 6 + -15 + 4 + 3x + 5x + -7x = 0 Combine like terms: 6 + -15 = -9 -9 + 4 + 3x + 5x + -7x = 0 Combine like terms: -9 + 4 = -5 -5 + 3x + 5x + -7x = 0 Combine like terms: 3x + 5x = 8x -5 + 8x + -7x = 0 Combine like terms: 8x + -7x = 1x -5 + 1x = 0 Solving -5 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 0 + 5 1x = 0 + 5 Combine like terms: 0 + 5 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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