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Simplifying -4(-3 + 10x) + -7(x + -10) = -11x + 5x (-3 * -4 + 10x * -4) + -7(x + -10) = -11x + 5x (12 + -40x) + -7(x + -10) = -11x + 5x Reorder the terms: 12 + -40x + -7(-10 + x) = -11x + 5x 12 + -40x + (-10 * -7 + x * -7) = -11x + 5x 12 + -40x + (70 + -7x) = -11x + 5x Reorder the terms: 12 + 70 + -40x + -7x = -11x + 5x Combine like terms: 12 + 70 = 82 82 + -40x + -7x = -11x + 5x Combine like terms: -40x + -7x = -47x 82 + -47x = -11x + 5x Combine like terms: -11x + 5x = -6x 82 + -47x = -6x Solving 82 + -47x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 82 + -47x + 6x = -6x + 6x Combine like terms: -47x + 6x = -41x 82 + -41x = -6x + 6x Combine like terms: -6x + 6x = 0 82 + -41x = 0 Add '-82' to each side of the equation. 82 + -82 + -41x = 0 + -82 Combine like terms: 82 + -82 = 0 0 + -41x = 0 + -82 -41x = 0 + -82 Combine like terms: 0 + -82 = -82 -41x = -82 Divide each side by '-41'. x = 2 Simplifying x = 2
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