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Simplifying 2(2x + -7) + -2 = 2(x + -3) + 4 Reorder the terms: 2(-7 + 2x) + -2 = 2(x + -3) + 4 (-7 * 2 + 2x * 2) + -2 = 2(x + -3) + 4 (-14 + 4x) + -2 = 2(x + -3) + 4 Reorder the terms: -14 + -2 + 4x = 2(x + -3) + 4 Combine like terms: -14 + -2 = -16 -16 + 4x = 2(x + -3) + 4 Reorder the terms: -16 + 4x = 2(-3 + x) + 4 -16 + 4x = (-3 * 2 + x * 2) + 4 -16 + 4x = (-6 + 2x) + 4 Reorder the terms: -16 + 4x = -6 + 4 + 2x Combine like terms: -6 + 4 = -2 -16 + 4x = -2 + 2x Solving -16 + 4x = -2 + 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. -16 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x -16 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 2x = -2 + 0 -16 + 2x = -2 Add '16' to each side of the equation. -16 + 16 + 2x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 2x = -2 + 16 2x = -2 + 16 Combine like terms: -2 + 16 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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