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Simplifying 4(5x + 5) + -2(1 + 11x) = 3x + -7x Reorder the terms: 4(5 + 5x) + -2(1 + 11x) = 3x + -7x (5 * 4 + 5x * 4) + -2(1 + 11x) = 3x + -7x (20 + 20x) + -2(1 + 11x) = 3x + -7x 20 + 20x + (1 * -2 + 11x * -2) = 3x + -7x 20 + 20x + (-2 + -22x) = 3x + -7x Reorder the terms: 20 + -2 + 20x + -22x = 3x + -7x Combine like terms: 20 + -2 = 18 18 + 20x + -22x = 3x + -7x Combine like terms: 20x + -22x = -2x 18 + -2x = 3x + -7x Combine like terms: 3x + -7x = -4x 18 + -2x = -4x Solving 18 + -2x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 18 + -2x + 4x = -4x + 4x Combine like terms: -2x + 4x = 2x 18 + 2x = -4x + 4x Combine like terms: -4x + 4x = 0 18 + 2x = 0 Add '-18' to each side of the equation. 18 + -18 + 2x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 2x = 0 + -18 2x = 0 + -18 Combine like terms: 0 + -18 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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