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Simplifying 10 + -1(3x + -7) = 1 + -4x Reorder the terms: 10 + -1(-7 + 3x) = 1 + -4x 10 + (-7 * -1 + 3x * -1) = 1 + -4x 10 + (7 + -3x) = 1 + -4x Combine like terms: 10 + 7 = 17 17 + -3x = 1 + -4x Solving 17 + -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. 17 + -3x + 4x = 1 + -4x + 4x Combine like terms: -3x + 4x = 1x 17 + 1x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 17 + 1x = 1 + 0 17 + 1x = 1 Add '-17' to each side of the equation. 17 + -17 + 1x = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 1 + -17 1x = 1 + -17 Combine like terms: 1 + -17 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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