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Simplifying 4(x + -7) = 2(x + 4) Reorder the terms: 4(-7 + x) = 2(x + 4) (-7 * 4 + x * 4) = 2(x + 4) (-28 + 4x) = 2(x + 4) Reorder the terms: -28 + 4x = 2(4 + x) -28 + 4x = (4 * 2 + x * 2) -28 + 4x = (8 + 2x) Solving -28 + 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. -28 + 4x + -2x = 8 + 2x + -2x Combine like terms: 4x + -2x = 2x -28 + 2x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -28 + 2x = 8 + 0 -28 + 2x = 8 Add '28' to each side of the equation. -28 + 28 + 2x = 8 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 8 + 28 2x = 8 + 28 Combine like terms: 8 + 28 = 36 2x = 36 Divide each side by '2'. x = 18 Simplifying x = 18
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