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