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Simplifying 4 + -1(2x + -3) = 2(2x + 1) + 5 Reorder the terms: 4 + -1(-3 + 2x) = 2(2x + 1) + 5 4 + (-3 * -1 + 2x * -1) = 2(2x + 1) + 5 4 + (3 + -2x) = 2(2x + 1) + 5 Combine like terms: 4 + 3 = 7 7 + -2x = 2(2x + 1) + 5 Reorder the terms: 7 + -2x = 2(1 + 2x) + 5 7 + -2x = (1 * 2 + 2x * 2) + 5 7 + -2x = (2 + 4x) + 5 Reorder the terms: 7 + -2x = 2 + 5 + 4x Combine like terms: 2 + 5 = 7 7 + -2x = 7 + 4x Add '-7' to each side of the equation. 7 + -7 + -2x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + -2x = 7 + -7 + 4x -2x = 7 + -7 + 4x Combine like terms: 7 + -7 = 0 -2x = 0 + 4x -2x = 4x Solving -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. -2x + -4x = 4x + -4x Combine like terms: -2x + -4x = -6x -6x = 4x + -4x Combine like terms: 4x + -4x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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