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Simplifying 8(x + 8) + 4 = -4(x + -2) + -7 Reorder the terms: 8(8 + x) + 4 = -4(x + -2) + -7 (8 * 8 + x * 8) + 4 = -4(x + -2) + -7 (64 + 8x) + 4 = -4(x + -2) + -7 Reorder the terms: 64 + 4 + 8x = -4(x + -2) + -7 Combine like terms: 64 + 4 = 68 68 + 8x = -4(x + -2) + -7 Reorder the terms: 68 + 8x = -4(-2 + x) + -7 68 + 8x = (-2 * -4 + x * -4) + -7 68 + 8x = (8 + -4x) + -7 Reorder the terms: 68 + 8x = 8 + -7 + -4x Combine like terms: 8 + -7 = 1 68 + 8x = 1 + -4x Solving 68 + 8x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 68 + 8x + 4x = 1 + -4x + 4x Combine like terms: 8x + 4x = 12x 68 + 12x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 68 + 12x = 1 + 0 68 + 12x = 1 Add '-68' to each side of the equation. 68 + -68 + 12x = 1 + -68 Combine like terms: 68 + -68 = 0 0 + 12x = 1 + -68 12x = 1 + -68 Combine like terms: 1 + -68 = -67 12x = -67 Divide each side by '12'. x = -5.583333333 Simplifying x = -5.583333333
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