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Simplifying 4[1 + -1(5x + -3)] = 7(4 + -2x) Reorder the terms: 4[1 + -1(-3 + 5x)] = 7(4 + -2x) 4[1 + (-3 * -1 + 5x * -1)] = 7(4 + -2x) 4[1 + (3 + -5x)] = 7(4 + -2x) Combine like terms: 1 + 3 = 4 4[4 + -5x] = 7(4 + -2x) [4 * 4 + -5x * 4] = 7(4 + -2x) [16 + -20x] = 7(4 + -2x) 16 + -20x = (4 * 7 + -2x * 7) 16 + -20x = (28 + -14x) Solving 16 + -20x = 28 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 16 + -20x + 14x = 28 + -14x + 14x Combine like terms: -20x + 14x = -6x 16 + -6x = 28 + -14x + 14x Combine like terms: -14x + 14x = 0 16 + -6x = 28 + 0 16 + -6x = 28 Add '-16' to each side of the equation. 16 + -16 + -6x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + -6x = 28 + -16 -6x = 28 + -16 Combine like terms: 28 + -16 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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