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