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Simplifying 3(7 + -2(7x + -4)) = -40x + 45 Reorder the terms: 3(7 + -2(-4 + 7x)) = -40x + 45 3(7 + (-4 * -2 + 7x * -2)) = -40x + 45 3(7 + (8 + -14x)) = -40x + 45 Combine like terms: 7 + 8 = 15 3(15 + -14x) = -40x + 45 (15 * 3 + -14x * 3) = -40x + 45 (45 + -42x) = -40x + 45 Reorder the terms: 45 + -42x = 45 + -40x Add '-45' to each side of the equation. 45 + -45 + -42x = 45 + -45 + -40x Combine like terms: 45 + -45 = 0 0 + -42x = 45 + -45 + -40x -42x = 45 + -45 + -40x Combine like terms: 45 + -45 = 0 -42x = 0 + -40x -42x = -40x Solving -42x = -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. -42x + 40x = -40x + 40x Combine like terms: -42x + 40x = -2x -2x = -40x + 40x Combine like terms: -40x + 40x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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