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Simplifying 7(-4 + -1x) = -6(2x + -5) + -4(x + -9) + 5 (-4 * 7 + -1x * 7) = -6(2x + -5) + -4(x + -9) + 5 (-28 + -7x) = -6(2x + -5) + -4(x + -9) + 5 Reorder the terms: -28 + -7x = -6(-5 + 2x) + -4(x + -9) + 5 -28 + -7x = (-5 * -6 + 2x * -6) + -4(x + -9) + 5 -28 + -7x = (30 + -12x) + -4(x + -9) + 5 Reorder the terms: -28 + -7x = 30 + -12x + -4(-9 + x) + 5 -28 + -7x = 30 + -12x + (-9 * -4 + x * -4) + 5 -28 + -7x = 30 + -12x + (36 + -4x) + 5 Reorder the terms: -28 + -7x = 30 + 36 + 5 + -12x + -4x Combine like terms: 30 + 36 = 66 -28 + -7x = 66 + 5 + -12x + -4x Combine like terms: 66 + 5 = 71 -28 + -7x = 71 + -12x + -4x Combine like terms: -12x + -4x = -16x -28 + -7x = 71 + -16x Solving -28 + -7x = 71 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -28 + -7x + 16x = 71 + -16x + 16x Combine like terms: -7x + 16x = 9x -28 + 9x = 71 + -16x + 16x Combine like terms: -16x + 16x = 0 -28 + 9x = 71 + 0 -28 + 9x = 71 Add '28' to each side of the equation. -28 + 28 + 9x = 71 + 28 Combine like terms: -28 + 28 = 0 0 + 9x = 71 + 28 9x = 71 + 28 Combine like terms: 71 + 28 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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