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Simplifying (-5 + -1x) * 7 + x = 8(-8x + 11) + -7 Reorder the terms for easier multiplication: 7(-5 + -1x) + x = 8(-8x + 11) + -7 (-5 * 7 + -1x * 7) + x = 8(-8x + 11) + -7 (-35 + -7x) + x = 8(-8x + 11) + -7 Combine like terms: -7x + x = -6x -35 + -6x = 8(-8x + 11) + -7 Reorder the terms: -35 + -6x = 8(11 + -8x) + -7 -35 + -6x = (11 * 8 + -8x * 8) + -7 -35 + -6x = (88 + -64x) + -7 Reorder the terms: -35 + -6x = 88 + -7 + -64x Combine like terms: 88 + -7 = 81 -35 + -6x = 81 + -64x Solving -35 + -6x = 81 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. -35 + -6x + 64x = 81 + -64x + 64x Combine like terms: -6x + 64x = 58x -35 + 58x = 81 + -64x + 64x Combine like terms: -64x + 64x = 0 -35 + 58x = 81 + 0 -35 + 58x = 81 Add '35' to each side of the equation. -35 + 35 + 58x = 81 + 35 Combine like terms: -35 + 35 = 0 0 + 58x = 81 + 35 58x = 81 + 35 Combine like terms: 81 + 35 = 116 58x = 116 Divide each side by '58'. x = 2 Simplifying x = 2
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