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Simplifying 4(x + -7) = 7 + -4x + 8 + 6 + 4x + 11 Reorder the terms: 4(-7 + x) = 7 + -4x + 8 + 6 + 4x + 11 (-7 * 4 + x * 4) = 7 + -4x + 8 + 6 + 4x + 11 (-28 + 4x) = 7 + -4x + 8 + 6 + 4x + 11 Reorder the terms: -28 + 4x = 7 + 8 + 6 + 11 + -4x + 4x Combine like terms: 7 + 8 = 15 -28 + 4x = 15 + 6 + 11 + -4x + 4x Combine like terms: 15 + 6 = 21 -28 + 4x = 21 + 11 + -4x + 4x Combine like terms: 21 + 11 = 32 -28 + 4x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 -28 + 4x = 32 + 0 -28 + 4x = 32 Solving -28 + 4x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 4x = 32 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 32 + 28 4x = 32 + 28 Combine like terms: 32 + 28 = 60 4x = 60 Divide each side by '4'. x = 15 Simplifying x = 15
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