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Simplifying -10(x + -3) = -1(1 + 7x) Reorder the terms: -10(-3 + x) = -1(1 + 7x) (-3 * -10 + x * -10) = -1(1 + 7x) (30 + -10x) = -1(1 + 7x) 30 + -10x = (1 * -1 + 7x * -1) 30 + -10x = (-1 + -7x) Solving 30 + -10x = -1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 30 + -10x + 7x = -1 + -7x + 7x Combine like terms: -10x + 7x = -3x 30 + -3x = -1 + -7x + 7x Combine like terms: -7x + 7x = 0 30 + -3x = -1 + 0 30 + -3x = -1 Add '-30' to each side of the equation. 30 + -30 + -3x = -1 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -1 + -30 -3x = -1 + -30 Combine like terms: -1 + -30 = -31 -3x = -31 Divide each side by '-3'. x = 10.33333333 Simplifying x = 10.33333333
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