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Simplifying 7 + 8(x + -7) = 4 + -6(x + -4) Reorder the terms: 7 + 8(-7 + x) = 4 + -6(x + -4) 7 + (-7 * 8 + x * 8) = 4 + -6(x + -4) 7 + (-56 + 8x) = 4 + -6(x + -4) Combine like terms: 7 + -56 = -49 -49 + 8x = 4 + -6(x + -4) Reorder the terms: -49 + 8x = 4 + -6(-4 + x) -49 + 8x = 4 + (-4 * -6 + x * -6) -49 + 8x = 4 + (24 + -6x) Combine like terms: 4 + 24 = 28 -49 + 8x = 28 + -6x Solving -49 + 8x = 28 + -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. -49 + 8x + 6x = 28 + -6x + 6x Combine like terms: 8x + 6x = 14x -49 + 14x = 28 + -6x + 6x Combine like terms: -6x + 6x = 0 -49 + 14x = 28 + 0 -49 + 14x = 28 Add '49' to each side of the equation. -49 + 49 + 14x = 28 + 49 Combine like terms: -49 + 49 = 0 0 + 14x = 28 + 49 14x = 28 + 49 Combine like terms: 28 + 49 = 77 14x = 77 Divide each side by '14'. x = 5.5 Simplifying x = 5.5
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