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Simplifying 4(10 + -1x) = -7(x + -1) (10 * 4 + -1x * 4) = -7(x + -1) (40 + -4x) = -7(x + -1) Reorder the terms: 40 + -4x = -7(-1 + x) 40 + -4x = (-1 * -7 + x * -7) 40 + -4x = (7 + -7x) Solving 40 + -4x = 7 + -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. 40 + -4x + 7x = 7 + -7x + 7x Combine like terms: -4x + 7x = 3x 40 + 3x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 3x = 7 + 0 40 + 3x = 7 Add '-40' to each side of the equation. 40 + -40 + 3x = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 3x = 7 + -40 3x = 7 + -40 Combine like terms: 7 + -40 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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