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Simplifying 4(3x + -7) = x + 11 Reorder the terms: 4(-7 + 3x) = x + 11 (-7 * 4 + 3x * 4) = x + 11 (-28 + 12x) = x + 11 Reorder the terms: -28 + 12x = 11 + x Solving -28 + 12x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -28 + 12x + -1x = 11 + x + -1x Combine like terms: 12x + -1x = 11x -28 + 11x = 11 + x + -1x Combine like terms: x + -1x = 0 -28 + 11x = 11 + 0 -28 + 11x = 11 Add '28' to each side of the equation. -28 + 28 + 11x = 11 + 28 Combine like terms: -28 + 28 = 0 0 + 11x = 11 + 28 11x = 11 + 28 Combine like terms: 11 + 28 = 39 11x = 39 Divide each side by '11'. x = 3.545454545 Simplifying x = 3.545454545
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