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Simplifying 2(2x + -7) + -5 = 2(x + -3) + 1 Reorder the terms: 2(-7 + 2x) + -5 = 2(x + -3) + 1 (-7 * 2 + 2x * 2) + -5 = 2(x + -3) + 1 (-14 + 4x) + -5 = 2(x + -3) + 1 Reorder the terms: -14 + -5 + 4x = 2(x + -3) + 1 Combine like terms: -14 + -5 = -19 -19 + 4x = 2(x + -3) + 1 Reorder the terms: -19 + 4x = 2(-3 + x) + 1 -19 + 4x = (-3 * 2 + x * 2) + 1 -19 + 4x = (-6 + 2x) + 1 Reorder the terms: -19 + 4x = -6 + 1 + 2x Combine like terms: -6 + 1 = -5 -19 + 4x = -5 + 2x Solving -19 + 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. -19 + 4x + -2x = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x -19 + 2x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + 2x = -5 + 0 -19 + 2x = -5 Add '19' to each side of the equation. -19 + 19 + 2x = -5 + 19 Combine like terms: -19 + 19 = 0 0 + 2x = -5 + 19 2x = -5 + 19 Combine like terms: -5 + 19 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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