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Simplifying 7(x + -4) = 9(x + 1) + -1(5 + -2x) Reorder the terms: 7(-4 + x) = 9(x + 1) + -1(5 + -2x) (-4 * 7 + x * 7) = 9(x + 1) + -1(5 + -2x) (-28 + 7x) = 9(x + 1) + -1(5 + -2x) Reorder the terms: -28 + 7x = 9(1 + x) + -1(5 + -2x) -28 + 7x = (1 * 9 + x * 9) + -1(5 + -2x) -28 + 7x = (9 + 9x) + -1(5 + -2x) -28 + 7x = 9 + 9x + (5 * -1 + -2x * -1) -28 + 7x = 9 + 9x + (-5 + 2x) Reorder the terms: -28 + 7x = 9 + -5 + 9x + 2x Combine like terms: 9 + -5 = 4 -28 + 7x = 4 + 9x + 2x Combine like terms: 9x + 2x = 11x -28 + 7x = 4 + 11x Solving -28 + 7x = 4 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -28 + 7x + -11x = 4 + 11x + -11x Combine like terms: 7x + -11x = -4x -28 + -4x = 4 + 11x + -11x Combine like terms: 11x + -11x = 0 -28 + -4x = 4 + 0 -28 + -4x = 4 Add '28' to each side of the equation. -28 + 28 + -4x = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -4x = 4 + 28 -4x = 4 + 28 Combine like terms: 4 + 28 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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