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Simplifying 8 + -1(3x + -7) = 8 + -4x Reorder the terms: 8 + -1(-7 + 3x) = 8 + -4x 8 + (-7 * -1 + 3x * -1) = 8 + -4x 8 + (7 + -3x) = 8 + -4x Combine like terms: 8 + 7 = 15 15 + -3x = 8 + -4x Solving 15 + -3x = 8 + -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. 15 + -3x + 4x = 8 + -4x + 4x Combine like terms: -3x + 4x = 1x 15 + 1x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 1x = 8 + 0 15 + 1x = 8 Add '-15' to each side of the equation. 15 + -15 + 1x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 8 + -15 1x = 8 + -15 Combine like terms: 8 + -15 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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