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Simplifying 11(x + 3) = 4(3x + -4) Reorder the terms: 11(3 + x) = 4(3x + -4) (3 * 11 + x * 11) = 4(3x + -4) (33 + 11x) = 4(3x + -4) Reorder the terms: 33 + 11x = 4(-4 + 3x) 33 + 11x = (-4 * 4 + 3x * 4) 33 + 11x = (-16 + 12x) Solving 33 + 11x = -16 + 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. 33 + 11x + -12x = -16 + 12x + -12x Combine like terms: 11x + -12x = -1x 33 + -1x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 33 + -1x = -16 + 0 33 + -1x = -16 Add '-33' to each side of the equation. 33 + -33 + -1x = -16 + -33 Combine like terms: 33 + -33 = 0 0 + -1x = -16 + -33 -1x = -16 + -33 Combine like terms: -16 + -33 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49
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