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Simplifying (2x + 3) + -1(pi + 4 + -2x) = 5 + -1(pi + 2) Reorder the terms: (3 + 2x) + -1(pi + 4 + -2x) = 5 + -1(pi + 2) Remove parenthesis around (3 + 2x) 3 + 2x + -1(pi + 4 + -2x) = 5 + -1(pi + 2) Reorder the terms: 3 + 2x + -1(4 + ip + -2x) = 5 + -1(pi + 2) 3 + 2x + (4 * -1 + ip * -1 + -2x * -1) = 5 + -1(pi + 2) 3 + 2x + (-4 + -1ip + 2x) = 5 + -1(pi + 2) Reorder the terms: 3 + -4 + -1ip + 2x + 2x = 5 + -1(pi + 2) Combine like terms: 3 + -4 = -1 -1 + -1ip + 2x + 2x = 5 + -1(pi + 2) Combine like terms: 2x + 2x = 4x -1 + -1ip + 4x = 5 + -1(pi + 2) Reorder the terms: -1 + -1ip + 4x = 5 + -1(2 + ip) -1 + -1ip + 4x = 5 + (2 * -1 + ip * -1) -1 + -1ip + 4x = 5 + (-2 + -1ip) Combine like terms: 5 + -2 = 3 -1 + -1ip + 4x = 3 + -1ip Add 'ip' to each side of the equation. -1 + -1ip + ip + 4x = 3 + -1ip + ip Combine like terms: -1ip + ip = 0 -1 + 0 + 4x = 3 + -1ip + ip -1 + 4x = 3 + -1ip + ip Combine like terms: -1ip + ip = 0 -1 + 4x = 3 + 0 -1 + 4x = 3 Solving -1 + 4x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4x = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 3 + 1 4x = 3 + 1 Combine like terms: 3 + 1 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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