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Simplifying 4(x + 3) = 11(x + -6) Reorder the terms: 4(3 + x) = 11(x + -6) (3 * 4 + x * 4) = 11(x + -6) (12 + 4x) = 11(x + -6) Reorder the terms: 12 + 4x = 11(-6 + x) 12 + 4x = (-6 * 11 + x * 11) 12 + 4x = (-66 + 11x) Solving 12 + 4x = -66 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + 4x + -11x = -66 + 11x + -11x Combine like terms: 4x + -11x = -7x 12 + -7x = -66 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + -7x = -66 + 0 12 + -7x = -66 Add '-12' to each side of the equation. 12 + -12 + -7x = -66 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -66 + -12 -7x = -66 + -12 Combine like terms: -66 + -12 = -78 -7x = -78 Divide each side by '-7'. x = 11.14285714 Simplifying x = 11.14285714
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