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Simplifying 4(3 + x) + 10 = 11(x + -6) + 1 (3 * 4 + x * 4) + 10 = 11(x + -6) + 1 (12 + 4x) + 10 = 11(x + -6) + 1 Reorder the terms: 12 + 10 + 4x = 11(x + -6) + 1 Combine like terms: 12 + 10 = 22 22 + 4x = 11(x + -6) + 1 Reorder the terms: 22 + 4x = 11(-6 + x) + 1 22 + 4x = (-6 * 11 + x * 11) + 1 22 + 4x = (-66 + 11x) + 1 Reorder the terms: 22 + 4x = -66 + 1 + 11x Combine like terms: -66 + 1 = -65 22 + 4x = -65 + 11x Solving 22 + 4x = -65 + 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. 22 + 4x + -11x = -65 + 11x + -11x Combine like terms: 4x + -11x = -7x 22 + -7x = -65 + 11x + -11x Combine like terms: 11x + -11x = 0 22 + -7x = -65 + 0 22 + -7x = -65 Add '-22' to each side of the equation. 22 + -22 + -7x = -65 + -22 Combine like terms: 22 + -22 = 0 0 + -7x = -65 + -22 -7x = -65 + -22 Combine like terms: -65 + -22 = -87 -7x = -87 Divide each side by '-7'. x = 12.42857143 Simplifying x = 12.42857143
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