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Simplifying 3(x + 3) + 2(3 + -1(x + 7)) + x(2 + -5) = -49 Reorder the terms: 3(3 + x) + 2(3 + -1(x + 7)) + x(2 + -5) = -49 (3 * 3 + x * 3) + 2(3 + -1(x + 7)) + x(2 + -5) = -49 (9 + 3x) + 2(3 + -1(x + 7)) + x(2 + -5) = -49 Reorder the terms: 9 + 3x + 2(3 + -1(7 + x)) + x(2 + -5) = -49 9 + 3x + 2(3 + (7 * -1 + x * -1)) + x(2 + -5) = -49 9 + 3x + 2(3 + (-7 + -1x)) + x(2 + -5) = -49 Combine like terms: 3 + -7 = -4 9 + 3x + 2(-4 + -1x) + x(2 + -5) = -49 9 + 3x + (-4 * 2 + -1x * 2) + x(2 + -5) = -49 9 + 3x + (-8 + -2x) + x(2 + -5) = -49 Combine like terms: 2 + -5 = -3 9 + 3x + -8 + -2x + x(-3) = -49 Reorder the terms for easier multiplication: 9 + 3x + -8 + -2x + -3x = -49 Reorder the terms: 9 + -8 + 3x + -2x + -3x = -49 Combine like terms: 9 + -8 = 1 1 + 3x + -2x + -3x = -49 Combine like terms: 3x + -2x = 1x 1 + 1x + -3x = -49 Combine like terms: 1x + -3x = -2x 1 + -2x = -49 Solving 1 + -2x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = -49 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -49 + -1 -2x = -49 + -1 Combine like terms: -49 + -1 = -50 -2x = -50 Divide each side by '-2'. x = 25 Simplifying x = 25
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