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Simplifying 2(2x + -9) + -5 = 2(x + -5) + -3 Reorder the terms: 2(-9 + 2x) + -5 = 2(x + -5) + -3 (-9 * 2 + 2x * 2) + -5 = 2(x + -5) + -3 (-18 + 4x) + -5 = 2(x + -5) + -3 Reorder the terms: -18 + -5 + 4x = 2(x + -5) + -3 Combine like terms: -18 + -5 = -23 -23 + 4x = 2(x + -5) + -3 Reorder the terms: -23 + 4x = 2(-5 + x) + -3 -23 + 4x = (-5 * 2 + x * 2) + -3 -23 + 4x = (-10 + 2x) + -3 Reorder the terms: -23 + 4x = -10 + -3 + 2x Combine like terms: -10 + -3 = -13 -23 + 4x = -13 + 2x Solving -23 + 4x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -23 + 4x + -2x = -13 + 2x + -2x Combine like terms: 4x + -2x = 2x -23 + 2x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 2x = -13 + 0 -23 + 2x = -13 Add '23' to each side of the equation. -23 + 23 + 2x = -13 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -13 + 23 2x = -13 + 23 Combine like terms: -13 + 23 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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