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Simplifying -3(x + 3) + 5 = 7(x + 2) + 9 Reorder the terms: -3(3 + x) + 5 = 7(x + 2) + 9 (3 * -3 + x * -3) + 5 = 7(x + 2) + 9 (-9 + -3x) + 5 = 7(x + 2) + 9 Reorder the terms: -9 + 5 + -3x = 7(x + 2) + 9 Combine like terms: -9 + 5 = -4 -4 + -3x = 7(x + 2) + 9 Reorder the terms: -4 + -3x = 7(2 + x) + 9 -4 + -3x = (2 * 7 + x * 7) + 9 -4 + -3x = (14 + 7x) + 9 Reorder the terms: -4 + -3x = 14 + 9 + 7x Combine like terms: 14 + 9 = 23 -4 + -3x = 23 + 7x Solving -4 + -3x = 23 + 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. -4 + -3x + -7x = 23 + 7x + -7x Combine like terms: -3x + -7x = -10x -4 + -10x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -10x = 23 + 0 -4 + -10x = 23 Add '4' to each side of the equation. -4 + 4 + -10x = 23 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 23 + 4 -10x = 23 + 4 Combine like terms: 23 + 4 = 27 -10x = 27 Divide each side by '-10'. x = -2.7 Simplifying x = -2.7
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