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Simplifying 8x + 11 = 3(4x + -3) Reorder the terms: 11 + 8x = 3(4x + -3) Reorder the terms: 11 + 8x = 3(-3 + 4x) 11 + 8x = (-3 * 3 + 4x * 3) 11 + 8x = (-9 + 12x) Solving 11 + 8x = -9 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 11 + 8x + -12x = -9 + 12x + -12x Combine like terms: 8x + -12x = -4x 11 + -4x = -9 + 12x + -12x Combine like terms: 12x + -12x = 0 11 + -4x = -9 + 0 11 + -4x = -9 Add '-11' to each side of the equation. 11 + -11 + -4x = -9 + -11 Combine like terms: 11 + -11 = 0 0 + -4x = -9 + -11 -4x = -9 + -11 Combine like terms: -9 + -11 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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