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Simplifying -8(6x + -2) + 7(7x + -7) + -7 = 6 + -2 Reorder the terms: -8(-2 + 6x) + 7(7x + -7) + -7 = 6 + -2 (-2 * -8 + 6x * -8) + 7(7x + -7) + -7 = 6 + -2 (16 + -48x) + 7(7x + -7) + -7 = 6 + -2 Reorder the terms: 16 + -48x + 7(-7 + 7x) + -7 = 6 + -2 16 + -48x + (-7 * 7 + 7x * 7) + -7 = 6 + -2 16 + -48x + (-49 + 49x) + -7 = 6 + -2 Reorder the terms: 16 + -49 + -7 + -48x + 49x = 6 + -2 Combine like terms: 16 + -49 = -33 -33 + -7 + -48x + 49x = 6 + -2 Combine like terms: -33 + -7 = -40 -40 + -48x + 49x = 6 + -2 Combine like terms: -48x + 49x = 1x -40 + 1x = 6 + -2 Combine like terms: 6 + -2 = 4 -40 + 1x = 4 Solving -40 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 1x = 4 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 4 + 40 1x = 4 + 40 Combine like terms: 4 + 40 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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