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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 = -11x 40 + -11x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -11x = -7 + 0 40 + -11x = -7 Add '-40' to each side of the equation. 40 + -40 + -11x = -7 + -40 Combine like terms: 40 + -40 = 0 0 + -11x = -7 + -40 -11x = -7 + -40 Combine like terms: -7 + -40 = -47 -11x = -47 Divide each side by '-11'. x = 4.272727273 Simplifying x = 4.272727273
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