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Simplifying 8(x + 8) + 2 = 5(x + -3) + -7 Reorder the terms: 8(8 + x) + 2 = 5(x + -3) + -7 (8 * 8 + x * 8) + 2 = 5(x + -3) + -7 (64 + 8x) + 2 = 5(x + -3) + -7 Reorder the terms: 64 + 2 + 8x = 5(x + -3) + -7 Combine like terms: 64 + 2 = 66 66 + 8x = 5(x + -3) + -7 Reorder the terms: 66 + 8x = 5(-3 + x) + -7 66 + 8x = (-3 * 5 + x * 5) + -7 66 + 8x = (-15 + 5x) + -7 Reorder the terms: 66 + 8x = -15 + -7 + 5x Combine like terms: -15 + -7 = -22 66 + 8x = -22 + 5x Solving 66 + 8x = -22 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 66 + 8x + -5x = -22 + 5x + -5x Combine like terms: 8x + -5x = 3x 66 + 3x = -22 + 5x + -5x Combine like terms: 5x + -5x = 0 66 + 3x = -22 + 0 66 + 3x = -22 Add '-66' to each side of the equation. 66 + -66 + 3x = -22 + -66 Combine like terms: 66 + -66 = 0 0 + 3x = -22 + -66 3x = -22 + -66 Combine like terms: -22 + -66 = -88 3x = -88 Divide each side by '3'. x = -29.33333333 Simplifying x = -29.33333333
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