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Simplifying 2x + 4(x + -7) = 2(x + 2) Reorder the terms: 2x + 4(-7 + x) = 2(x + 2) 2x + (-7 * 4 + x * 4) = 2(x + 2) 2x + (-28 + 4x) = 2(x + 2) Reorder the terms: -28 + 2x + 4x = 2(x + 2) Combine like terms: 2x + 4x = 6x -28 + 6x = 2(x + 2) Reorder the terms: -28 + 6x = 2(2 + x) -28 + 6x = (2 * 2 + x * 2) -28 + 6x = (4 + 2x) Solving -28 + 6x = 4 + 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. -28 + 6x + -2x = 4 + 2x + -2x Combine like terms: 6x + -2x = 4x -28 + 4x = 4 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 4x = 4 + 0 -28 + 4x = 4 Add '28' to each side of the equation. -28 + 28 + 4x = 4 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 4 + 28 4x = 4 + 28 Combine like terms: 4 + 28 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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