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Simplifying 2(2x + -7) + -4 = 2(x + -5) + 2 Reorder the terms: 2(-7 + 2x) + -4 = 2(x + -5) + 2 (-7 * 2 + 2x * 2) + -4 = 2(x + -5) + 2 (-14 + 4x) + -4 = 2(x + -5) + 2 Reorder the terms: -14 + -4 + 4x = 2(x + -5) + 2 Combine like terms: -14 + -4 = -18 -18 + 4x = 2(x + -5) + 2 Reorder the terms: -18 + 4x = 2(-5 + x) + 2 -18 + 4x = (-5 * 2 + x * 2) + 2 -18 + 4x = (-10 + 2x) + 2 Reorder the terms: -18 + 4x = -10 + 2 + 2x Combine like terms: -10 + 2 = -8 -18 + 4x = -8 + 2x Solving -18 + 4x = -8 + 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. -18 + 4x + -2x = -8 + 2x + -2x Combine like terms: 4x + -2x = 2x -18 + 2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 2x = -8 + 0 -18 + 2x = -8 Add '18' to each side of the equation. -18 + 18 + 2x = -8 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -8 + 18 2x = -8 + 18 Combine like terms: -8 + 18 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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