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Simplifying 7(x + -4) + -1(4x + 5) = 4(x + -5) + -9 Reorder the terms: 7(-4 + x) + -1(4x + 5) = 4(x + -5) + -9 (-4 * 7 + x * 7) + -1(4x + 5) = 4(x + -5) + -9 (-28 + 7x) + -1(4x + 5) = 4(x + -5) + -9 Reorder the terms: -28 + 7x + -1(5 + 4x) = 4(x + -5) + -9 -28 + 7x + (5 * -1 + 4x * -1) = 4(x + -5) + -9 -28 + 7x + (-5 + -4x) = 4(x + -5) + -9 Reorder the terms: -28 + -5 + 7x + -4x = 4(x + -5) + -9 Combine like terms: -28 + -5 = -33 -33 + 7x + -4x = 4(x + -5) + -9 Combine like terms: 7x + -4x = 3x -33 + 3x = 4(x + -5) + -9 Reorder the terms: -33 + 3x = 4(-5 + x) + -9 -33 + 3x = (-5 * 4 + x * 4) + -9 -33 + 3x = (-20 + 4x) + -9 Reorder the terms: -33 + 3x = -20 + -9 + 4x Combine like terms: -20 + -9 = -29 -33 + 3x = -29 + 4x Solving -33 + 3x = -29 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -33 + 3x + -4x = -29 + 4x + -4x Combine like terms: 3x + -4x = -1x -33 + -1x = -29 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + -1x = -29 + 0 -33 + -1x = -29 Add '33' to each side of the equation. -33 + 33 + -1x = -29 + 33 Combine like terms: -33 + 33 = 0 0 + -1x = -29 + 33 -1x = -29 + 33 Combine like terms: -29 + 33 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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