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Simplifying 7 + -3(x + 4) = 9 + -5(x + 2) Reorder the terms: 7 + -3(4 + x) = 9 + -5(x + 2) 7 + (4 * -3 + x * -3) = 9 + -5(x + 2) 7 + (-12 + -3x) = 9 + -5(x + 2) Combine like terms: 7 + -12 = -5 -5 + -3x = 9 + -5(x + 2) Reorder the terms: -5 + -3x = 9 + -5(2 + x) -5 + -3x = 9 + (2 * -5 + x * -5) -5 + -3x = 9 + (-10 + -5x) Combine like terms: 9 + -10 = -1 -5 + -3x = -1 + -5x Solving -5 + -3x = -1 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -5 + -3x + 5x = -1 + -5x + 5x Combine like terms: -3x + 5x = 2x -5 + 2x = -1 + -5x + 5x Combine like terms: -5x + 5x = 0 -5 + 2x = -1 + 0 -5 + 2x = -1 Add '5' to each side of the equation. -5 + 5 + 2x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 2x = -1 + 5 2x = -1 + 5 Combine like terms: -1 + 5 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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