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Simplifying 4(x + 3) = 11 + -7(x + -8) Reorder the terms: 4(3 + x) = 11 + -7(x + -8) (3 * 4 + x * 4) = 11 + -7(x + -8) (12 + 4x) = 11 + -7(x + -8) Reorder the terms: 12 + 4x = 11 + -7(-8 + x) 12 + 4x = 11 + (-8 * -7 + x * -7) 12 + 4x = 11 + (56 + -7x) Combine like terms: 11 + 56 = 67 12 + 4x = 67 + -7x Solving 12 + 4x = 67 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + 4x + 7x = 67 + -7x + 7x Combine like terms: 4x + 7x = 11x 12 + 11x = 67 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 11x = 67 + 0 12 + 11x = 67 Add '-12' to each side of the equation. 12 + -12 + 11x = 67 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 67 + -12 11x = 67 + -12 Combine like terms: 67 + -12 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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