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Simplifying -8(6x + -4) + 7(7x + -3) + -5 = 5 + -6 Reorder the terms: -8(-4 + 6x) + 7(7x + -3) + -5 = 5 + -6 (-4 * -8 + 6x * -8) + 7(7x + -3) + -5 = 5 + -6 (32 + -48x) + 7(7x + -3) + -5 = 5 + -6 Reorder the terms: 32 + -48x + 7(-3 + 7x) + -5 = 5 + -6 32 + -48x + (-3 * 7 + 7x * 7) + -5 = 5 + -6 32 + -48x + (-21 + 49x) + -5 = 5 + -6 Reorder the terms: 32 + -21 + -5 + -48x + 49x = 5 + -6 Combine like terms: 32 + -21 = 11 11 + -5 + -48x + 49x = 5 + -6 Combine like terms: 11 + -5 = 6 6 + -48x + 49x = 5 + -6 Combine like terms: -48x + 49x = 1x 6 + 1x = 5 + -6 Combine like terms: 5 + -6 = -1 6 + 1x = -1 Solving 6 + 1x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 1x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -1 + -6 1x = -1 + -6 Combine like terms: -1 + -6 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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