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Simplifying -6(x + 8) + -1(-7x + 4) = 7 Reorder the terms: -6(8 + x) + -1(-7x + 4) = 7 (8 * -6 + x * -6) + -1(-7x + 4) = 7 (-48 + -6x) + -1(-7x + 4) = 7 Reorder the terms: -48 + -6x + -1(4 + -7x) = 7 -48 + -6x + (4 * -1 + -7x * -1) = 7 -48 + -6x + (-4 + 7x) = 7 Reorder the terms: -48 + -4 + -6x + 7x = 7 Combine like terms: -48 + -4 = -52 -52 + -6x + 7x = 7 Combine like terms: -6x + 7x = 1x -52 + 1x = 7 Solving -52 + 1x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 1x = 7 + 52 Combine like terms: -52 + 52 = 0 0 + 1x = 7 + 52 1x = 7 + 52 Combine like terms: 7 + 52 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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