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Simplifying 3 + 4(x + -6) = 11 + -4(x + -6) Reorder the terms: 3 + 4(-6 + x) = 11 + -4(x + -6) 3 + (-6 * 4 + x * 4) = 11 + -4(x + -6) 3 + (-24 + 4x) = 11 + -4(x + -6) Combine like terms: 3 + -24 = -21 -21 + 4x = 11 + -4(x + -6) Reorder the terms: -21 + 4x = 11 + -4(-6 + x) -21 + 4x = 11 + (-6 * -4 + x * -4) -21 + 4x = 11 + (24 + -4x) Combine like terms: 11 + 24 = 35 -21 + 4x = 35 + -4x Solving -21 + 4x = 35 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -21 + 4x + 4x = 35 + -4x + 4x Combine like terms: 4x + 4x = 8x -21 + 8x = 35 + -4x + 4x Combine like terms: -4x + 4x = 0 -21 + 8x = 35 + 0 -21 + 8x = 35 Add '21' to each side of the equation. -21 + 21 + 8x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 35 + 21 8x = 35 + 21 Combine like terms: 35 + 21 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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