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Simplifying 2(2x + -7) + -3 = 2(x + -5) + 5 Reorder the terms: 2(-7 + 2x) + -3 = 2(x + -5) + 5 (-7 * 2 + 2x * 2) + -3 = 2(x + -5) + 5 (-14 + 4x) + -3 = 2(x + -5) + 5 Reorder the terms: -14 + -3 + 4x = 2(x + -5) + 5 Combine like terms: -14 + -3 = -17 -17 + 4x = 2(x + -5) + 5 Reorder the terms: -17 + 4x = 2(-5 + x) + 5 -17 + 4x = (-5 * 2 + x * 2) + 5 -17 + 4x = (-10 + 2x) + 5 Reorder the terms: -17 + 4x = -10 + 5 + 2x Combine like terms: -10 + 5 = -5 -17 + 4x = -5 + 2x Solving -17 + 4x = -5 + 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. -17 + 4x + -2x = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x -17 + 2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 2x = -5 + 0 -17 + 2x = -5 Add '17' to each side of the equation. -17 + 17 + 2x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -5 + 17 2x = -5 + 17 Combine like terms: -5 + 17 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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