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Simplifying 2(2x + -7) + -3 = 2(x + -2) + 1 Reorder the terms: 2(-7 + 2x) + -3 = 2(x + -2) + 1 (-7 * 2 + 2x * 2) + -3 = 2(x + -2) + 1 (-14 + 4x) + -3 = 2(x + -2) + 1 Reorder the terms: -14 + -3 + 4x = 2(x + -2) + 1 Combine like terms: -14 + -3 = -17 -17 + 4x = 2(x + -2) + 1 Reorder the terms: -17 + 4x = 2(-2 + x) + 1 -17 + 4x = (-2 * 2 + x * 2) + 1 -17 + 4x = (-4 + 2x) + 1 Reorder the terms: -17 + 4x = -4 + 1 + 2x Combine like terms: -4 + 1 = -3 -17 + 4x = -3 + 2x Solving -17 + 4x = -3 + 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 = -3 + 2x + -2x Combine like terms: 4x + -2x = 2x -17 + 2x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -17 + 2x = -3 + 0 -17 + 2x = -3 Add '17' to each side of the equation. -17 + 17 + 2x = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -3 + 17 2x = -3 + 17 Combine like terms: -3 + 17 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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