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Simplifying 7 + -1(3x + -8) = 1 + -4x Reorder the terms: 7 + -1(-8 + 3x) = 1 + -4x 7 + (-8 * -1 + 3x * -1) = 1 + -4x 7 + (8 + -3x) = 1 + -4x Combine like terms: 7 + 8 = 15 15 + -3x = 1 + -4x Solving 15 + -3x = 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. 15 + -3x + 4x = 1 + -4x + 4x Combine like terms: -3x + 4x = 1x 15 + 1x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 1x = 1 + 0 15 + 1x = 1 Add '-15' to each side of the equation. 15 + -15 + 1x = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 1 + -15 1x = 1 + -15 Combine like terms: 1 + -15 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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