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