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Simplifying 9 + -4(x + 5) = 2(7 + -3x) + 1 Reorder the terms: 9 + -4(5 + x) = 2(7 + -3x) + 1 9 + (5 * -4 + x * -4) = 2(7 + -3x) + 1 9 + (-20 + -4x) = 2(7 + -3x) + 1 Combine like terms: 9 + -20 = -11 -11 + -4x = 2(7 + -3x) + 1 -11 + -4x = (7 * 2 + -3x * 2) + 1 -11 + -4x = (14 + -6x) + 1 Reorder the terms: -11 + -4x = 14 + 1 + -6x Combine like terms: 14 + 1 = 15 -11 + -4x = 15 + -6x Solving -11 + -4x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -11 + -4x + 6x = 15 + -6x + 6x Combine like terms: -4x + 6x = 2x -11 + 2x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -11 + 2x = 15 + 0 -11 + 2x = 15 Add '11' to each side of the equation. -11 + 11 + 2x = 15 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = 15 + 11 2x = 15 + 11 Combine like terms: 15 + 11 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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