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Simplifying 8x + 65 = 11(x + 4) Reorder the terms: 65 + 8x = 11(x + 4) Reorder the terms: 65 + 8x = 11(4 + x) 65 + 8x = (4 * 11 + x * 11) 65 + 8x = (44 + 11x) Solving 65 + 8x = 44 + 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. 65 + 8x + -11x = 44 + 11x + -11x Combine like terms: 8x + -11x = -3x 65 + -3x = 44 + 11x + -11x Combine like terms: 11x + -11x = 0 65 + -3x = 44 + 0 65 + -3x = 44 Add '-65' to each side of the equation. 65 + -65 + -3x = 44 + -65 Combine like terms: 65 + -65 = 0 0 + -3x = 44 + -65 -3x = 44 + -65 Combine like terms: 44 + -65 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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