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Simplifying 4(x + 3) = 7(4x + -11) Reorder the terms: 4(3 + x) = 7(4x + -11) (3 * 4 + x * 4) = 7(4x + -11) (12 + 4x) = 7(4x + -11) Reorder the terms: 12 + 4x = 7(-11 + 4x) 12 + 4x = (-11 * 7 + 4x * 7) 12 + 4x = (-77 + 28x) Solving 12 + 4x = -77 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 12 + 4x + -28x = -77 + 28x + -28x Combine like terms: 4x + -28x = -24x 12 + -24x = -77 + 28x + -28x Combine like terms: 28x + -28x = 0 12 + -24x = -77 + 0 12 + -24x = -77 Add '-12' to each side of the equation. 12 + -12 + -24x = -77 + -12 Combine like terms: 12 + -12 = 0 0 + -24x = -77 + -12 -24x = -77 + -12 Combine like terms: -77 + -12 = -89 -24x = -89 Divide each side by '-24'. x = 3.708333333 Simplifying x = 3.708333333
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